Atkin-Lehner |
3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
39249l |
Isogeny class |
Conductor |
39249 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
685440 |
Modular degree for the optimal curve |
Δ |
-985750725277777347 = -1 · 323 · 76 · 89 |
Discriminant |
Eigenvalues |
0 3- 4 7- -2 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-194628,58086621] |
[a1,a2,a3,a4,a6] |
j |
-9506571157504/11493474507 |
j-invariant |
L |
2.012798127101 |
L(r)(E,1)/r! |
Ω |
0.25159976589271 |
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 |
13083f1 801a1 |
Quadratic twists by: -3 -7 |