Atkin-Lehner |
2- 3- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310bx |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-326008800000 = -1 · 28 · 36 · 55 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5873,-173919] |
[a1,a2,a3,a4,a6] |
j |
-30726058889161/447200000 |
j-invariant |
L |
2.1795885375715 |
L(r)(E,1)/r! |
Ω |
0.2724485671808 |
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 |
5590c1 |
Quadratic twists by: -3 |