Atkin-Lehner |
2+ 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430bj |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
1082574285710400 = 26 · 36 · 52 · 79 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66600,6439936] |
[a1,a2,a3,a4,a6] |
Generators |
[65:1511:1] [-117:3611:1] |
Generators of the group modulo torsion |
j |
380920459249/12622400 |
j-invariant |
L |
8.1416890637152 |
L(r)(E,1)/r! |
Ω |
0.4876800012924 |
Real period |
R |
2.0868420487605 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11270p1 14490ba1 |
Quadratic twists by: -3 -7 |