Atkin-Lehner |
2+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
62560c |
Isogeny class |
Conductor |
62560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
142080 |
Modular degree for the optimal curve |
Δ |
-6109375000000 = -1 · 26 · 512 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 0 -6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10286,415360] |
[a1,a2,a3,a4,a6] |
Generators |
[10:560:1] |
Generators of the group modulo torsion |
j |
-1880725960305856/95458984375 |
j-invariant |
L |
3.1235992838961 |
L(r)(E,1)/r! |
Ω |
0.74663110956559 |
Real period |
R |
4.1835911250672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62560a1 125120dg1 |
Quadratic twists by: -4 8 |