Atkin-Lehner |
5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23275d |
Isogeny class |
Conductor |
23275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-1692892578125 = -1 · 59 · 74 · 192 |
Discriminant |
Eigenvalues |
1 1 5+ 7+ 4 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1251,-64977] |
[a1,a2,a3,a4,a6] |
j |
-5764801/45125 |
j-invariant |
L |
2.8327071240069 |
L(r)(E,1)/r! |
Ω |
0.35408839050088 |
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 |
4655l1 23275l1 |
Quadratic twists by: 5 -7 |