Atkin-Lehner |
2- 5+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
96560i |
Isogeny class |
Conductor |
96560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16512 |
Modular degree for the optimal curve |
Δ |
-12070000 = -1 · 24 · 54 · 17 · 71 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 5 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7,167] |
[a1,a2,a3,a4,a6] |
j |
2370816/754375 |
j-invariant |
L |
3.4998563286025 |
L(r)(E,1)/r! |
Ω |
1.7499281076117 |
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 |
24140a1 |
Quadratic twists by: -4 |