Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
52020z |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
616896 |
Modular degree for the optimal curve |
Δ |
6509218783345920 = 28 · 36 · 5 · 178 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 5 6 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-471648,124613332] |
[a1,a2,a3,a4,a6] |
j |
8912896/5 |
j-invariant |
L |
2.5040156744857 |
L(r)(E,1)/r! |
Ω |
0.41733594563234 |
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 |
5780f1 52020bd1 |
Quadratic twists by: -3 17 |