Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344cu |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
18262935381999616 = 232 · 75 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 1 3 7+ 11+ -1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-163009,24428863] |
[a1,a2,a3,a4,a6] |
Generators |
[249555:10940416:125] |
Generators of the group modulo torsion |
j |
1827347754908593/69667569664 |
j-invariant |
L |
9.7334982320707 |
L(r)(E,1)/r! |
Ω |
0.38455724148915 |
Real period |
R |
6.3277304046829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344bq1 28336bc1 |
Quadratic twists by: -4 8 |