Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
10980j |
Isogeny class |
Conductor |
10980 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
160088400 = 24 · 38 · 52 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1632,25369] |
[a1,a2,a3,a4,a6] |
Generators |
[20:27:1] |
Generators of the group modulo torsion |
j |
41213231104/13725 |
j-invariant |
L |
4.2084537658494 |
L(r)(E,1)/r! |
Ω |
1.7830595654618 |
Real period |
R |
0.39337382472314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43920cg1 3660f1 54900u1 |
Quadratic twists by: -4 -3 5 |