Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304io |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
5591040 |
Modular degree for the optimal curve |
Δ |
-9.9799504938358E+18 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 2 13- 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7739349,8285956083] |
[a1,a2,a3,a4,a6] |
Generators |
[2046:31941:1] |
Generators of the group modulo torsion |
j |
-9122691795384795136/1775882908917 |
j-invariant |
L |
12.245325208881 |
L(r)(E,1)/r! |
Ω |
0.22260076185719 |
Real period |
R |
0.39293040734426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304ce1 30576bv1 122304fq1 |
Quadratic twists by: -4 8 -7 |