Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800cf |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-5142500000000 = -1 · 28 · 510 · 112 · 17 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 11- 3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19375,-1043750] |
[a1,a2,a3,a4,a6] |
Generators |
[226:2474:1] |
Generators of the group modulo torsion |
j |
-321742800/2057 |
j-invariant |
L |
2.3158185109074 |
L(r)(E,1)/r! |
Ω |
0.20225217781435 |
Real period |
R |
5.7250768278437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18700b1 74800dq1 |
Quadratic twists by: -4 5 |