Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474ba |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
116208229850360154 = 2 · 36 · 13 · 1910 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-474963,-124799725] |
[a1,a2,a3,a4,a6] |
j |
345505073913/3388346 |
j-invariant |
L |
1.455732883299 |
L(r)(E,1)/r! |
Ω |
0.18196661416346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9386h4 4446q4 |
Quadratic twists by: -3 -19 |