Atkin-Lehner |
2+ 3- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41976a |
Isogeny class |
Conductor |
41976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2376192 |
Modular degree for the optimal curve |
Δ |
-1.8097731466897E+22 |
Discriminant |
Eigenvalues |
2+ 3- 1 4 11+ 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3826692,7084814148] |
[a1,a2,a3,a4,a6] |
j |
-33206778390345698304/96974298412302179 |
j-invariant |
L |
3.4558943994761 |
L(r)(E,1)/r! |
Ω |
0.10799669998843 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83952e1 4664e1 |
Quadratic twists by: -4 -3 |