Atkin-Lehner |
2+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52022h |
Isogeny class |
Conductor |
52022 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
378288 |
Modular degree for the optimal curve |
Δ |
133474219248998 = 2 · 19 · 378 |
Discriminant |
Eigenvalues |
2+ 2 4 -2 -4 -7 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13718,265430] |
[a1,a2,a3,a4,a6] |
j |
81289/38 |
j-invariant |
L |
1.5658838998266 |
L(r)(E,1)/r! |
Ω |
0.5219612997775 |
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 |
52022m1 |
Quadratic twists by: 37 |