Atkin-Lehner |
5- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60515k |
Isogeny class |
Conductor |
60515 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12309666047315 = 5 · 79 · 132 · 192 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 2 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10912,-402216] |
[a1,a2,a3,a4,a6] |
j |
3560550183/305045 |
j-invariant |
L |
0.93933614006345 |
L(r)(E,1)/r! |
Ω |
0.46966806940156 |
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 |
60515f2 |
Quadratic twists by: -7 |