Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7280r |
Isogeny class |
Conductor |
7280 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
1562797466389053440 = 234 · 5 · 72 · 135 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 6 13- -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-542363,-141484982] |
[a1,a2,a3,a4,a6] |
j |
4307585705106105969/381542350192640 |
j-invariant |
L |
1.7691987597212 |
L(r)(E,1)/r! |
Ω |
0.17691987597212 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
910f1 29120cj1 65520ep1 36400be1 |
Quadratic twists by: -4 8 -3 5 |