Atkin-Lehner |
3+ 5+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116025k |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-17055675 = -1 · 32 · 52 · 73 · 13 · 17 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -3 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,62,48] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:3:8] [1:10:1] |
Generators of the group modulo torsion |
j |
1037373440/682227 |
j-invariant |
L |
5.2989751149315 |
L(r)(E,1)/r! |
Ω |
1.3730953843857 |
Real period |
R |
0.64319094627155 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999949171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116025bp1 |
Quadratic twists by: 5 |