Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992fg |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3932160 |
Modular degree for the optimal curve |
Δ |
-1.5060939143737E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 -4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3223596,-2235523120] |
[a1,a2,a3,a4,a6] |
j |
-19385548183592137/78810594471 |
j-invariant |
L |
0.22528822088382 |
L(r)(E,1)/r! |
Ω |
0.056322087492078 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992ct1 31248bq1 41664ck1 |
Quadratic twists by: -4 8 -3 |