Atkin-Lehner |
2- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
51136q |
Isogeny class |
Conductor |
51136 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-3412472954944 = -1 · 26 · 176 · 472 |
Discriminant |
Eigenvalues |
2- 2 2 -2 2 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1308,-87430] |
[a1,a2,a3,a4,a6] |
j |
3863980253888/53319889921 |
j-invariant |
L |
4.6598099099098 |
L(r)(E,1)/r! |
Ω |
0.38831749253597 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51136m1 25568b2 |
Quadratic twists by: -4 8 |