Atkin-Lehner |
5+ 11+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
103675f |
Isogeny class |
Conductor |
103675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4796688580556640625 = -1 · 510 · 112 · 136 · 292 |
Discriminant |
Eigenvalues |
-1 2 5+ 2 11+ 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-813463,-301751594] |
[a1,a2,a3,a4,a6] |
j |
-3809931185510043049/306988069155625 |
j-invariant |
L |
2.5318332023197 |
L(r)(E,1)/r! |
Ω |
0.079119775696122 |
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 |
20735f2 |
Quadratic twists by: 5 |