Cremona's table of elliptic curves

434 = 2 · 7 · 31

Field	Data	Notes
Atkin-Lehner	2- 7- 31+	Signs for the Atkin-Lehner involutions
Class	434d	Isogeny class
Conductor	434	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	73835552 = 25 · 74 · 312	Discriminant
Eigenvalues	2- -2 -2 7- -2 -4 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-139,465]	[a1,a2,a3,a4,a6]
Generators	[58:405:1]	Generators of the group modulo torsion
j	297141543217/73835552	j-invariant
L	1.87890542232	L(r)(E,1)/r!
Ω	1.8196638477539	Real period
R	0.10325563288182	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	3472e2 13888i2 3906k2 10850b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 434d2

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
-	-2	-2	-	-2	-4	-2	-8	0	0	+	-8	6	2	8	0	12	-8	4	0	-14	4	2	-6	14

---

Quadratic twists for elliptic curve 434d2

-4	8	-3	5	-7	-11	13	17	-31
3472e2	13888i2	3906k2	10850b2	3038k2	52514c2	73346i2	125426o2	13454h2

---

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