Atkin-Lehner |
2+ 3+ 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470h |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
9569894400 = 216 · 32 · 52 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3127,-68459] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:29:1] |
Generators of the group modulo torsion |
j |
3383174090221561/9569894400 |
j-invariant |
L |
2.5064885621142 |
L(r)(E,1)/r! |
Ω |
0.63851829134113 |
Real period |
R |
1.9627382614597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58410bc1 97350ct1 |
Quadratic twists by: -3 5 |