Atkin-Lehner |
2- 3- 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
126480bm |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-121273152307200000 = -1 · 220 · 35 · 55 · 173 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-87056,19425300] |
[a1,a2,a3,a4,a6] |
j |
-17814140715089809/29607703200000 |
j-invariant |
L |
2.965292510214 |
L(r)(E,1)/r! |
Ω |
0.29652922052956 |
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 |
15810l1 |
Quadratic twists by: -4 |