Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230dm |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3801600 |
Modular degree for the optimal curve |
Δ |
-2.5836851443982E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -2 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1410278,-1006430763] |
[a1,a2,a3,a4,a6] |
j |
-1985037003961/1653372000 |
j-invariant |
L |
0.6690884180916 |
L(r)(E,1)/r! |
Ω |
0.066908842633622 |
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 |
25410o1 76230be1 |
Quadratic twists by: -3 -11 |