Atkin-Lehner |
2- 3+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482cb |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
2457600 |
Modular degree for the optimal curve |
Δ |
2754197206688858112 = 220 · 32 · 73 · 134 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-442898,80409503] |
[a1,a2,a3,a4,a6] |
Generators |
[1049:27251:1] [-501:13549:1] |
Generators of the group modulo torsion |
j |
28011786706654978375/8029729465565184 |
j-invariant |
L |
14.945648480404 |
L(r)(E,1)/r! |
Ω |
0.23743597379535 |
Real period |
R |
0.52455012879904 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118482ct1 |
Quadratic twists by: -7 |