Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968fh |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
392527872 |
Modular degree for the optimal curve |
Δ |
2.5633707788191E+29 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11+ -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34790893203,-2497616917646510] |
[a1,a2,a3,a4,a6] |
j |
661452718394879874611/36407410163712 |
j-invariant |
L |
5.6598456946123 |
L(r)(E,1)/r! |
Ω |
0.011054385210381 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15246g1 40656da1 121968do1 |
Quadratic twists by: -4 -3 -11 |