Atkin-Lehner |
2+ 3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350g |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
3510397440000000000 = 218 · 38 · 510 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-607525,-158661875] |
[a1,a2,a3,a4,a6] |
Generators |
[65815:16850530:1] |
Generators of the group modulo torsion |
j |
1587074323222816849/224665436160000 |
j-invariant |
L |
3.9254037228084 |
L(r)(E,1)/r! |
Ω |
0.17261591874707 |
Real period |
R |
5.6851705093319 |
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 |
94050cv1 6270p1 |
Quadratic twists by: -3 5 |