Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6120d |
Isogeny class |
Conductor |
6120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1982880000 = 28 · 36 · 54 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31863,2189162] |
[a1,a2,a3,a4,a6] |
j |
19169739408976/10625 |
j-invariant |
L |
2.4242674780372 |
L(r)(E,1)/r! |
Ω |
1.2121337390186 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12240h1 48960co1 680c1 30600cj1 |
Quadratic twists by: -4 8 -3 5 |