Atkin-Lehner |
2+ 3+ 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
91632d |
Isogeny class |
Conductor |
91632 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
7784448 |
Modular degree for the optimal curve |
Δ |
4.0369569064184E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 1 4 0 -2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-109953785,443812116933] |
[a1,a2,a3,a4,a6] |
Generators |
[765580:1185489:125] |
Generators of the group modulo torsion |
j |
574267584519553786627296256/157693629156966909 |
j-invariant |
L |
7.8007550042933 |
L(r)(E,1)/r! |
Ω |
0.1633615268571 |
Real period |
R |
1.1369400467222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45816g1 |
Quadratic twists by: -4 |