Atkin-Lehner |
2- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
113740d |
Isogeny class |
Conductor |
113740 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1458000 |
Modular degree for the optimal curve |
Δ |
147143022162400000 = 28 · 55 · 116 · 473 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 11- 7 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-856236,-304683436] |
[a1,a2,a3,a4,a6] |
j |
153076524671824/324446875 |
j-invariant |
L |
4.2380903691048 |
L(r)(E,1)/r! |
Ω |
0.15696630866202 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
940c1 |
Quadratic twists by: -11 |