Atkin-Lehner |
2- 5+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36550v |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-2297752300 = -1 · 22 · 52 · 172 · 433 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 -3 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,107,2311] |
[a1,a2,a3,a4,a6] |
Generators |
[19:98:1] |
Generators of the group modulo torsion |
j |
5416033415/91910092 |
j-invariant |
L |
13.438648896136 |
L(r)(E,1)/r! |
Ω |
1.084673934844 |
Real period |
R |
3.0973937107809 |
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 |
36550m1 |
Quadratic twists by: 5 |