Atkin-Lehner |
2- 5- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
34850bc |
Isogeny class |
Conductor |
34850 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-446080000 = -1 · 210 · 54 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 2 5- -2 2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,187,331] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:12:1] |
Generators of the group modulo torsion |
j |
1156706975/713728 |
j-invariant |
L |
12.325452186227 |
L(r)(E,1)/r! |
Ω |
1.0315947968864 |
Real period |
R |
1.1947958853058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34850g1 |
Quadratic twists by: 5 |