Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18810z |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
6941948062500000000 = 28 · 312 · 512 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-778568,-231857269] |
[a1,a2,a3,a4,a6] |
Generators |
[-453:5491:1] |
Generators of the group modulo torsion |
j |
71595431380957421881/9522562500000000 |
j-invariant |
L |
6.1953874921576 |
L(r)(E,1)/r! |
Ω |
0.16213495076737 |
Real period |
R |
4.7764126911219 |
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 |
6270l1 94050bp1 |
Quadratic twists by: -3 5 |