Cremona's table of elliptic curves

4305 = 3 · 5 · 7 · 41

Field	Data	Notes
Atkin-Lehner	3+ 5+ 7- 41-	Signs for the Atkin-Lehner involutions
Class	4305c	Isogeny class
Conductor	4305	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	1728	Modular degree for the optimal curve
Δ	77838705 = 33 · 5 · 73 · 412	Discriminant
Eigenvalues	-1 3+ 5+ 7-  0  2 -4  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-951,10884]	[a1,a2,a3,a4,a6]
Generators	[-24:155:1]	Generators of the group modulo torsion
j	95124810494449/77838705	j-invariant
L	1.8548745313855	L(r)(E,1)/r!
Ω	1.917788167944	Real period
R	0.64479645958468	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	68880ce1 12915q1 21525z1 30135bc1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4305c1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-1	+	+	-	0	2	-4	0	-4	4	-6	6	-	2	4	-2	-12	-10	4	4	-6	16	-6	10	10

---

Quadratic twists for elliptic curve 4305c1

-4	-3	5	-7
68880ce1	12915q1	21525z1	30135bc1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations