Atkin-Lehner |
2- 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
23560f |
Isogeny class |
Conductor |
23560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-27977500000000 = -1 · 28 · 510 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 0 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-436,-254364] |
[a1,a2,a3,a4,a6] |
j |
-35887146064/109287109375 |
j-invariant |
L |
1.2067477794626 |
L(r)(E,1)/r! |
Ω |
0.30168694486564 |
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 |
47120b1 117800h1 |
Quadratic twists by: -4 5 |