Atkin-Lehner |
2- 3- 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
104904n |
Isogeny class |
Conductor |
104904 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
113664 |
Modular degree for the optimal curve |
Δ |
25287738624 = 28 · 37 · 312 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 3 3 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6492,201188] |
[a1,a2,a3,a4,a6] |
Generators |
[88:558:1] |
Generators of the group modulo torsion |
j |
162140591104/135501 |
j-invariant |
L |
9.0200773043396 |
L(r)(E,1)/r! |
Ω |
1.1846779344882 |
Real period |
R |
0.475871806918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039387 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34968a1 |
Quadratic twists by: -3 |