Atkin-Lehner |
2- 3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
117300v |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
109835028000000 = 28 · 35 · 56 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 6 5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15733,-573337] |
[a1,a2,a3,a4,a6] |
j |
107677745152/27458757 |
j-invariant |
L |
4.3429340712684 |
L(r)(E,1)/r! |
Ω |
0.43429334927153 |
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 |
4692b1 |
Quadratic twists by: 5 |