Atkin-Lehner |
2- 3- 5+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110bx |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
220670239140 = 22 · 36 · 5 · 133 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2558,45001] |
[a1,a2,a3,a4,a6] |
j |
2538274733721/302702660 |
j-invariant |
L |
1.9248457062402 |
L(r)(E,1)/r! |
Ω |
0.96242294236299 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10790b1 |
Quadratic twists by: -3 |