Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
52080j |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
5832960 = 28 · 3 · 5 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7596,252300] |
[a1,a2,a3,a4,a6] |
Generators |
[59:114:1] |
Generators of the group modulo torsion |
j |
189363288881104/22785 |
j-invariant |
L |
5.546313131883 |
L(r)(E,1)/r! |
Ω |
1.8590050945866 |
Real period |
R |
2.9834846327571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999398 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26040a1 |
Quadratic twists by: -4 |