Atkin-Lehner |
2+ 13+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
90896a |
Isogeny class |
Conductor |
90896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
194560 |
Modular degree for the optimal curve |
Δ |
-56669626034944 = -1 · 28 · 132 · 195 · 232 |
Discriminant |
Eigenvalues |
2+ 2 -1 3 3 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7561,-439323] |
[a1,a2,a3,a4,a6] |
j |
-186757864152064/221365726699 |
j-invariant |
L |
3.9175446942373 |
L(r)(E,1)/r! |
Ω |
0.24484654428172 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45448b1 |
Quadratic twists by: -4 |