Atkin-Lehner |
2- 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
39396f |
Isogeny class |
Conductor |
39396 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-130815417712896 = -1 · 28 · 33 · 710 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -4 4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-336940,-75169352] |
[a1,a2,a3,a4,a6] |
j |
-58500873424/1809 |
j-invariant |
L |
1.1889449566787 |
L(r)(E,1)/r! |
Ω |
0.099078746389697 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118188bf1 39396i1 |
Quadratic twists by: -3 -7 |