Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616fd |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
38338560 |
Modular degree for the optimal curve |
Δ |
-3.8834363633444E+27 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11822475,-2998279645382] |
[a1,a2,a3,a4,a6] |
j |
-520203426765625/11054534935707648 |
j-invariant |
L |
1.4477085452119 |
L(r)(E,1)/r! |
Ω |
0.020107064124521 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9702cc1 25872cx1 11088bp1 |
Quadratic twists by: -4 -3 -7 |