Atkin-Lehner |
2- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
39710x |
Isogeny class |
Conductor |
39710 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
118974328460900 = 22 · 52 · 113 · 197 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 11- -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188991,-31697887] |
[a1,a2,a3,a4,a6] |
j |
15868125221689/2528900 |
j-invariant |
L |
2.7477338328489 |
L(r)(E,1)/r! |
Ω |
0.22897781940135 |
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 |
2090e1 |
Quadratic twists by: -19 |