Atkin-Lehner |
3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11115f |
Isogeny class |
Conductor |
11115 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
90313186055625 = 38 · 54 · 132 · 194 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27360,1687675] |
[a1,a2,a3,a4,a6] |
j |
3107086841064961/123886400625 |
j-invariant |
L |
2.3925498901593 |
L(r)(E,1)/r! |
Ω |
0.59813747253982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3705e2 55575m2 |
Quadratic twists by: -3 5 |