Cremona's table of elliptic curves

7800 = 2³ · 3 · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 13+	Signs for the Atkin-Lehner involutions
Class	7800u	Isogeny class
Conductor	7800	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	54756000000 = 28 · 34 · 56 · 132	Discriminant
Eigenvalues	2- 3- 5+ -4  0 13+ -2  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1108,8288]	[a1,a2,a3,a4,a6]
Generators	[-22:150:1]	Generators of the group modulo torsion
j	37642192/13689	j-invariant
L	4.4628249236157	L(r)(E,1)/r!
Ω	1.0241193288612	Real period
R	0.54471495628571	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	15600e2 62400bg2 23400m2 312d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7800u2

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
-	-	+	-4	0	+	-2	8	-8	-2	4	10	2	4	12	-6	0	-2	-8	-12	-10	-8	0	-14	-2

---

Quadratic twists for elliptic curve 7800u2

-4	8	-3	5	13
15600e2	62400bg2	23400m2	312d2	101400bk2

---

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