Atkin-Lehner |
2- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52022j |
Isogeny class |
Conductor |
52022 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-8542350031935872 = -1 · 27 · 19 · 378 |
Discriminant |
Eigenvalues |
2- -1 2 1 2 1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-104757,-13830821] |
[a1,a2,a3,a4,a6] |
j |
-49552182217/3329408 |
j-invariant |
L |
3.7008461338978 |
L(r)(E,1)/r! |
Ω |
0.13217307622945 |
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 |
1406b1 |
Quadratic twists by: 37 |