Atkin-Lehner |
2+ 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
80080j |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-1119792593920 = -1 · 210 · 5 · 76 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2184,33124] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:52:1] [0:182:1] |
Generators of the group modulo torsion |
j |
1124560408604/1093547455 |
j-invariant |
L |
7.5676205510648 |
L(r)(E,1)/r! |
Ω |
0.57174421008977 |
Real period |
R |
1.1030020677204 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997758 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40040i1 |
Quadratic twists by: -4 |