Atkin-Lehner |
2+ 3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18810m |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
975110400 = 28 · 36 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-279,1053] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:41:1] |
Generators of the group modulo torsion |
j |
3301293169/1337600 |
j-invariant |
L |
4.4029536651406 |
L(r)(E,1)/r! |
Ω |
1.4196850698754 |
Real period |
R |
1.5506797100878 |
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 |
2090l1 94050dj1 |
Quadratic twists by: -3 5 |