Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600cv |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
79153876684800 = 212 · 33 · 52 · 315 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 5 0 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45600,3723440] |
[a1,a2,a3,a4,a6] |
Generators |
[818:2883:8] |
Generators of the group modulo torsion |
j |
3792752640000/28629151 |
j-invariant |
L |
7.7423723374402 |
L(r)(E,1)/r! |
Ω |
0.61324768076656 |
Real period |
R |
1.2625196262607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6975b1 111600cw1 111600dj1 |
Quadratic twists by: -4 -3 5 |