Atkin-Lehner |
2+ 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430br |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
134455726285231680 = 26 · 39 · 5 · 79 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-452475,115926565] |
[a1,a2,a3,a4,a6] |
Generators |
[261:3814:1] [-3386:123409:8] |
Generators of the group modulo torsion |
j |
119451676585249/1567702080 |
j-invariant |
L |
7.5190455370434 |
L(r)(E,1)/r! |
Ω |
0.32930048967467 |
Real period |
R |
1.4270866906292 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000698 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33810cl1 14490bf1 |
Quadratic twists by: -3 -7 |