Atkin-Lehner |
2+ 11+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
70928a |
Isogeny class |
Conductor |
70928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-2525392469180033024 = -1 · 211 · 112 · 139 · 312 |
Discriminant |
Eigenvalues |
2+ -1 3 -1 11+ 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,31056,-76439264] |
[a1,a2,a3,a4,a6] |
j |
1617395869376926/1233101791591813 |
j-invariant |
L |
1.9195208249403 |
L(r)(E,1)/r! |
Ω |
0.11997005304858 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35464e1 |
Quadratic twists by: -4 |