Atkin-Lehner |
2+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37312f |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
2 |
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 |
[3781119681320372885500:-900175057715231216912641:66676466375000000] |
Generators of the group modulo torsion |
j |
-33206778390345698304/96974298412302179 |
j-invariant |
L |
4.2578614263017 |
L(r)(E,1)/r! |
Ω |
0.06117245010811 |
Real period |
R |
34.802116138693 |
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 |
37312be1 4664e1 |
Quadratic twists by: -4 8 |