Atkin-Lehner |
2+ 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62496b |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-57620312064 = -1 · 212 · 33 · 75 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 4 1 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6408,-197776] |
[a1,a2,a3,a4,a6] |
Generators |
[692:18076:1] |
Generators of the group modulo torsion |
j |
-263128269312/521017 |
j-invariant |
L |
5.9378105371513 |
L(r)(E,1)/r! |
Ω |
0.26677025340913 |
Real period |
R |
5.564535832741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62496bc1 124992b1 62496y1 |
Quadratic twists by: -4 8 -3 |