Atkin-Lehner |
2+ 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
100510a |
Isogeny class |
Conductor |
100510 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1672704 |
Modular degree for the optimal curve |
Δ |
-46707395481946000 = -1 · 24 · 53 · 193 · 237 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 -3 -7 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11891,10387032] |
[a1,a2,a3,a4,a6] |
Generators |
[-186:1415:1] [-25:3186:1] |
Generators of the group modulo torsion |
j |
1256216039/315514000 |
j-invariant |
L |
5.7905389867648 |
L(r)(E,1)/r! |
Ω |
0.27744987850034 |
Real period |
R |
2.6088220956088 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4370a1 |
Quadratic twists by: -23 |