Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968dr |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
95846400 |
Modular degree for the optimal curve |
Δ |
-5.8476862593671E+28 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29194275,-11634723638494] |
[a1,a2,a3,a4,a6] |
j |
-520203426765625/11054534935707648 |
j-invariant |
L |
2.0531064492425 |
L(r)(E,1)/r! |
Ω |
0.016039888329789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15246p1 40656bf1 11088bp1 |
Quadratic twists by: -4 -3 -11 |