Atkin-Lehner |
2- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37312be |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
2715648 |
Modular degree for the optimal curve |
Δ |
-1.5888269051872E+21 |
Discriminant |
Eigenvalues |
2- 3 1 -4 11- 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1700752,2099204192] |
[a1,a2,a3,a4,a6] |
Generators |
[-1326804:93892733:1728] |
Generators of the group modulo torsion |
j |
-33206778390345698304/96974298412302179 |
j-invariant |
L |
10.219301306072 |
L(r)(E,1)/r! |
Ω |
0.13226840443805 |
Real period |
R |
2.9716095231014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37312f1 9328c1 |
Quadratic twists by: -4 8 |