Atkin-Lehner |
2- 3+ 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
106050be |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
57012480000000 = 214 · 32 · 57 · 72 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9688,48281] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:397:1] [-25:537:1] |
Generators of the group modulo torsion |
j |
6435893935801/3648798720 |
j-invariant |
L |
14.287914940432 |
L(r)(E,1)/r! |
Ω |
0.53934879245128 |
Real period |
R |
0.47305443487599 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210p1 |
Quadratic twists by: 5 |