Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920k |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
478800 = 24 · 32 · 52 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9975,386802] |
[a1,a2,a3,a4,a6] |
Generators |
[74:220:1] |
Generators of the group modulo torsion |
j |
6860977263302656/29925 |
j-invariant |
L |
5.0186279206861 |
L(r)(E,1)/r! |
Ω |
1.9888191918146 |
Real period |
R |
2.5234209028861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15960i1 127680fo1 95760z1 |
Quadratic twists by: -4 8 -3 |