Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230bi |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-1452878089740000 = -1 · 25 · 36 · 54 · 77 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-358650,-82601964] |
[a1,a2,a3,a4,a6] |
j |
-57839429434456681/16470860000 |
j-invariant |
L |
1.365596555718 |
L(r)(E,1)/r! |
Ω |
0.097542610522506 |
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 |
8470bf1 76230do1 |
Quadratic twists by: -3 -11 |