Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
36414cq |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
109109161728 = 28 · 36 · 7 · 174 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 2 -6 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3089,-63359] |
[a1,a2,a3,a4,a6] |
j |
53520777/1792 |
j-invariant |
L |
5.1337843786926 |
L(r)(E,1)/r! |
Ω |
0.64172304733822 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4046d1 36414cv1 |
Quadratic twists by: -3 17 |