Atkin-Lehner |
2+ 3- 5- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310bg |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
58587693465600 = 214 · 39 · 52 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38709,2917813] |
[a1,a2,a3,a4,a6] |
j |
8799101971936849/80367206400 |
j-invariant |
L |
2.5142049494011 |
L(r)(E,1)/r! |
Ω |
0.62855123720973 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770y1 |
Quadratic twists by: -3 |