Atkin-Lehner |
2- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
89012s |
Isogeny class |
Conductor |
89012 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
242352 |
Modular degree for the optimal curve |
Δ |
-60158932171184 = -1 · 24 · 72 · 11 · 178 |
Discriminant |
Eigenvalues |
2- -1 3 7- 11+ -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6551,-314614] |
[a1,a2,a3,a4,a6] |
j |
278528/539 |
j-invariant |
L |
1.9558988936754 |
L(r)(E,1)/r! |
Ω |
0.32598314578582 |
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 |
89012k1 |
Quadratic twists by: 17 |