Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330ej |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
165150720 |
Modular degree for the optimal curve |
Δ |
2.3021374236322E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-61250553293,5834638288919157] |
[a1,a2,a3,a4,a6] |
Generators |
[125841:-10999476:1] |
Generators of the group modulo torsion |
j |
296304326013275547793071733369/268420373544960000000 |
j-invariant |
L |
9.4642361545166 |
L(r)(E,1)/r! |
Ω |
0.031802897545843 |
Real period |
R |
6.1997994448866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000098 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110p1 8190bm1 |
Quadratic twists by: -3 -7 |