Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800ee |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
2058000000000 = 210 · 3 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3208,-12412] |
[a1,a2,a3,a4,a6] |
j |
5324/3 |
j-invariant |
L |
2.7321355590205 |
L(r)(E,1)/r! |
Ω |
0.68303389018023 |
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 |
29400dd1 58800bu1 58800bt1 |
Quadratic twists by: -4 5 -7 |