Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600ef |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-39743447040000000 = -1 · 219 · 36 · 57 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 11- -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-318675,69903250] |
[a1,a2,a3,a4,a6] |
j |
-76711450249/851840 |
j-invariant |
L |
4.3782897784986 |
L(r)(E,1)/r! |
Ω |
0.36485748154281 |
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 |
4950m1 4400l1 7920bm1 |
Quadratic twists by: -4 -3 5 |