Atkin-Lehner |
5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23275g |
Isogeny class |
Conductor |
23275 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
58968 |
Modular degree for the optimal curve |
Δ |
-1711425296875 = -1 · 56 · 78 · 19 |
Discriminant |
Eigenvalues |
-2 -2 5+ 7+ 4 6 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2858,85194] |
[a1,a2,a3,a4,a6] |
j |
-28672/19 |
j-invariant |
L |
0.77520435515447 |
L(r)(E,1)/r! |
Ω |
0.77520435515439 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
931a1 23275r1 |
Quadratic twists by: 5 -7 |