Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736bi |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
686400 |
Modular degree for the optimal curve |
Δ |
-17386191038202624 = -1 · 28 · 33 · 116 · 175 |
Discriminant |
Eigenvalues |
2+ 3- 3 0 11- -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,61791,-2280357] |
[a1,a2,a3,a4,a6] |
j |
57530252288/38336139 |
j-invariant |
L |
3.3212620142033 |
L(r)(E,1)/r! |
Ω |
0.22141746145401 |
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 |
49368h1 816d1 |
Quadratic twists by: -4 -11 |