Atkin-Lehner |
2+ 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
59808d |
Isogeny class |
Conductor |
59808 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1004544 |
Modular degree for the optimal curve |
Δ |
2130452401766976 = 26 · 36 · 78 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1923202,-1027201600] |
[a1,a2,a3,a4,a6] |
j |
12291890134038495458752/33288318777609 |
j-invariant |
L |
1.5384189682585 |
L(r)(E,1)/r! |
Ω |
0.12820158098277 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59808f1 119616g2 |
Quadratic twists by: -4 8 |