Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520gc |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
541209600 = 210 · 36 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8712,312984] |
[a1,a2,a3,a4,a6] |
Generators |
[198:2520:1] |
Generators of the group modulo torsion |
j |
97960237056/725 |
j-invariant |
L |
7.5269612250428 |
L(r)(E,1)/r! |
Ω |
1.4724296086636 |
Real period |
R |
2.5559664038625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520cr1 20880h1 9280m1 |
Quadratic twists by: -4 8 -3 |