Atkin-Lehner |
2- 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810ci |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
7962624 |
Modular degree for the optimal curve |
Δ |
1.1624052881542E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-151054065,712625029647] |
[a1,a2,a3,a4,a6] |
j |
3239908336204082689644289/9880281924658790400 |
j-invariant |
L |
3.133735051106 |
L(r)(E,1)/r! |
Ω |
0.087048195864002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101430bi1 4830bc1 |
Quadratic twists by: -3 -7 |