Atkin-Lehner |
19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
13357a |
Isogeny class |
Conductor |
13357 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2383015010293 = 196 · 373 |
Discriminant |
Eigenvalues |
0 -1 0 -1 3 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8423,290949] |
[a1,a2,a3,a4,a6] |
j |
1404928000/50653 |
j-invariant |
L |
1.6220707964365 |
L(r)(E,1)/r! |
Ω |
0.81103539821824 |
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 |
120213h2 37b1 |
Quadratic twists by: -3 -19 |