Atkin-Lehner |
2- 3- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72504t |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1021440 |
Modular degree for the optimal curve |
Δ |
3347650944908496 = 24 · 313 · 195 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -2 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2162766,1224225133] |
[a1,a2,a3,a4,a6] |
Generators |
[-598:47997:1] |
Generators of the group modulo torsion |
j |
95919035229495666688/287007111189 |
j-invariant |
L |
9.2689831970233 |
L(r)(E,1)/r! |
Ω |
0.38889027256037 |
Real period |
R |
5.9586108539006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24168g1 |
Quadratic twists by: -3 |