Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600bg |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
7120000000000 = 213 · 510 · 89 |
Discriminant |
Eigenvalues |
2- 3 5+ 0 0 1 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11875,481250] |
[a1,a2,a3,a4,a6] |
Generators |
[-2022:26324:27] |
Generators of the group modulo torsion |
j |
4629825/178 |
j-invariant |
L |
10.723315795737 |
L(r)(E,1)/r! |
Ω |
0.73959543803689 |
Real period |
R |
7.2494469572442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4450e1 35600bk1 |
Quadratic twists by: -4 5 |