Atkin-Lehner |
2- 3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440cr |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-30992156187033600 = -1 · 217 · 312 · 52 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9456,-8480556] |
[a1,a2,a3,a4,a6] |
j |
-22831375767409/7566444381600 |
j-invariant |
L |
3.9872375266564 |
L(r)(E,1)/r! |
Ω |
0.16613489790513 |
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 |
14430y2 |
Quadratic twists by: -4 |