Atkin-Lehner |
2- 3- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96624bf |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4515840 |
Modular degree for the optimal curve |
Δ |
-5.0717402361299E+21 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 11+ -3 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,734973,3417794818] |
[a1,a2,a3,a4,a6] |
Generators |
[5313:396608:1] |
Generators of the group modulo torsion |
j |
14704504384534271/1698515543328384 |
j-invariant |
L |
5.1655307030356 |
L(r)(E,1)/r! |
Ω |
0.10475148418043 |
Real period |
R |
6.1640304460673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001867 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12078k1 32208p1 |
Quadratic twists by: -4 -3 |