Atkin-Lehner |
2- 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31350ce |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
250 |
Product of Tamagawa factors cp |
deg |
120000 |
Modular degree for the optimal curve |
Δ |
19035455155200 = 210 · 35 · 52 · 115 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19578,1031652] |
[a1,a2,a3,a4,a6] |
j |
33196329174156745/761418206208 |
j-invariant |
L |
6.8606160850734 |
L(r)(E,1)/r! |
Ω |
0.68606160850763 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
94050q1 31350n2 |
Quadratic twists by: -3 5 |