Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600ef |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
185472 |
Modular degree for the optimal curve |
Δ |
-1770946867200 = -1 · 212 · 3 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4573,-133643] |
[a1,a2,a3,a4,a6] |
j |
-17920/3 |
j-invariant |
L |
1.7258398387027 |
L(r)(E,1)/r! |
Ω |
0.28763994494951 |
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 |
117600ch1 117600dn1 117600gr1 |
Quadratic twists by: -4 5 -7 |