Atkin-Lehner |
2- 3- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
61104v |
Isogeny class |
Conductor |
61104 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
347719763755008 = 224 · 35 · 19 · 672 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6908912,-6992068908] |
[a1,a2,a3,a4,a6] |
j |
8904157023754598397553/84892520448 |
j-invariant |
L |
0.93120893001841 |
L(r)(E,1)/r! |
Ω |
0.093120893505272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7638g1 |
Quadratic twists by: -4 |