Atkin-Lehner |
11+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
98549d |
Isogeny class |
Conductor |
98549 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
16930983986653 = 113 · 177 · 31 |
Discriminant |
Eigenvalues |
2 -1 0 1 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-54428,4901619] |
[a1,a2,a3,a4,a6] |
j |
738763264000/701437 |
j-invariant |
L |
2.759432037947 |
L(r)(E,1)/r! |
Ω |
0.68985805903901 |
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 |
5797c1 |
Quadratic twists by: 17 |