Atkin-Lehner |
2- 3+ 7- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
98406g |
Isogeny class |
Conductor |
98406 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
54144 |
Modular degree for the optimal curve |
Δ |
-2367353142 = -1 · 2 · 39 · 7 · 112 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 2 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-380,3781] |
[a1,a2,a3,a4,a6] |
j |
-307546875/120274 |
j-invariant |
L |
5.4604281191846 |
L(r)(E,1)/r! |
Ω |
1.3651070072449 |
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 |
98406c1 |
Quadratic twists by: -3 |