Atkin-Lehner |
2+ 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
57096a |
Isogeny class |
Conductor |
57096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
93696 |
Modular degree for the optimal curve |
Δ |
-70230294411264 = -1 · 211 · 39 · 134 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -1 0 -2 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15363,-836514] |
[a1,a2,a3,a4,a6] |
j |
-9947880486/1742221 |
j-invariant |
L |
0.8495369393435 |
L(r)(E,1)/r! |
Ω |
0.21238423530863 |
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 |
114192b1 57096j1 |
Quadratic twists by: -4 -3 |