Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69312dv |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-20034626174189568 = -1 · 217 · 32 · 198 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 -4 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,34175,6372479] |
[a1,a2,a3,a4,a6] |
j |
715822/3249 |
j-invariant |
L |
1.1026026390216 |
L(r)(E,1)/r! |
Ω |
0.27565065793801 |
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 |
69312ba2 17328h2 3648bc2 |
Quadratic twists by: -4 8 -19 |