Atkin-Lehner |
2- 3+ 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550co |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
416 |
Product of Tamagawa factors cp |
deg |
6709248 |
Modular degree for the optimal curve |
Δ |
-1.8467979264E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15358188,-23181999219] |
[a1,a2,a3,a4,a6] |
j |
-25640330942383576506361/11819506728960000 |
j-invariant |
L |
3.9655724987936 |
L(r)(E,1)/r! |
Ω |
0.038130504868723 |
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 |
14910x1 |
Quadratic twists by: 5 |