Atkin-Lehner |
2+ 7+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
100912b |
Isogeny class |
Conductor |
100912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37888 |
Modular degree for the optimal curve |
Δ |
599013632 = 28 · 72 · 17 · 532 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-348,-2324] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:16:1] |
Generators of the group modulo torsion |
j |
18258658000/2339897 |
j-invariant |
L |
4.2878772531449 |
L(r)(E,1)/r! |
Ω |
1.1144222526514 |
Real period |
R |
1.9238117557129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999817788 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50456b1 |
Quadratic twists by: -4 |