Atkin-Lehner |
2+ 7- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
98686c |
Isogeny class |
Conductor |
98686 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
463320 |
Modular degree for the optimal curve |
Δ |
-350360273084416 = -1 · 213 · 76 · 193 · 53 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 2 -1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,16438,-389700] |
[a1,a2,a3,a4,a6] |
j |
4175614324727/2978013184 |
j-invariant |
L |
0.30343664575566 |
L(r)(E,1)/r! |
Ω |
0.30343644527165 |
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 |
2014a1 |
Quadratic twists by: -7 |