Atkin-Lehner |
5+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
70525l |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-185320966796875 = -1 · 510 · 72 · 13 · 313 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- 3 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-460925,-120448094] |
[a1,a2,a3,a4,a6] |
Generators |
[895:13562:1] |
Generators of the group modulo torsion |
j |
-693097734329266176/11860541875 |
j-invariant |
L |
2.5157153352141 |
L(r)(E,1)/r! |
Ω |
0.091613937040097 |
Real period |
R |
2.2883302617299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14105c1 |
Quadratic twists by: 5 |