Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736cn |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-178801400231866368 = -1 · 212 · 32 · 1111 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 11- 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-521429,146519133] |
[a1,a2,a3,a4,a6] |
j |
-2160697802752/24640803 |
j-invariant |
L |
1.2873837092483 |
L(r)(E,1)/r! |
Ω |
0.32184594801904 |
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 |
6171f1 8976o1 |
Quadratic twists by: -4 -11 |