Atkin-Lehner |
2+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
1886a |
Isogeny class |
Conductor |
1886 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
88838144 = 212 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 2 -2 4 -4 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-491,3965] |
[a1,a2,a3,a4,a6] |
j |
13132563308857/88838144 |
j-invariant |
L |
1.9209320967328 |
L(r)(E,1)/r! |
Ω |
1.9209320967328 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15088g1 60352e1 16974p1 47150q1 |
Quadratic twists by: -4 8 -3 5 |