Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360cd |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2119680 |
Modular degree for the optimal curve |
Δ |
124606738733568000 = 212 · 3 · 53 · 75 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8397641,9363831159] |
[a1,a2,a3,a4,a6] |
Generators |
[7755:640848:1] |
Generators of the group modulo torsion |
j |
15989531155800771865024/30421567073625 |
j-invariant |
L |
7.4584409295004 |
L(r)(E,1)/r! |
Ω |
0.283429549634 |
Real period |
R |
4.3858288265391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933411 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360r1 43680e1 |
Quadratic twists by: -4 8 |