Atkin-Lehner |
2- 3+ 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
79950bn |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2499840 |
Modular degree for the optimal curve |
Δ |
-831480000000000000 = -1 · 215 · 3 · 513 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 6 13- -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1102588,-448237219] |
[a1,a2,a3,a4,a6] |
j |
-9487318822026281209/53214720000000 |
j-invariant |
L |
4.4184693323652 |
L(r)(E,1)/r! |
Ω |
0.073641156341555 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15990h1 |
Quadratic twists by: 5 |