Atkin-Lehner |
2- 3+ 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
62730s |
Isogeny class |
Conductor |
62730 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3782122855884000000 = 28 · 39 · 56 · 17 · 414 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -6 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-508493,103680757] |
[a1,a2,a3,a4,a6] |
Generators |
[-617:13808:1] |
Generators of the group modulo torsion |
j |
738731393034325803/192151748000000 |
j-invariant |
L |
6.0814371505387 |
L(r)(E,1)/r! |
Ω |
0.23252669543653 |
Real period |
R |
1.6346072487841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000324 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62730d2 |
Quadratic twists by: -3 |