Atkin-Lehner |
2- 3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122892v |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
123658354512 = 24 · 34 · 73 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3873,-92520] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:27:1] [-33:21:1] |
Generators of the group modulo torsion |
j |
1171019776000/22532499 |
j-invariant |
L |
14.169545495154 |
L(r)(E,1)/r! |
Ω |
0.60587907467616 |
Real period |
R |
1.9488962527901 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999970291 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122892h1 |
Quadratic twists by: -7 |