Atkin-Lehner |
2- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
51100a |
Isogeny class |
Conductor |
51100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3193344 |
Modular degree for the optimal curve |
Δ |
-3.570013671875E+20 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 1 -7 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17289133,27679088863] |
[a1,a2,a3,a4,a6] |
j |
-142883931524184088576/89250341796875 |
j-invariant |
L |
0.67336082522226 |
L(r)(E,1)/r! |
Ω |
0.16834020639277 |
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 |
10220f1 |
Quadratic twists by: 5 |