Atkin-Lehner |
2- 5- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
15130l |
Isogeny class |
Conductor |
15130 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
105353216000000 = 218 · 56 · 172 · 89 |
Discriminant |
Eigenvalues |
2- -2 5- -4 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26070,1540900] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:730:1] |
Generators of the group modulo torsion |
j |
1959511636224758881/105353216000000 |
j-invariant |
L |
4.2031846420463 |
L(r)(E,1)/r! |
Ω |
0.58734537097929 |
Real period |
R |
1.1927067246761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
121040t1 75650g1 |
Quadratic twists by: -4 5 |