Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600bg |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
714492900000000 = 28 · 310 · 58 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-148575,-22005250] |
[a1,a2,a3,a4,a6] |
Generators |
[-49674:3619:216] |
Generators of the group modulo torsion |
j |
124386546256/245025 |
j-invariant |
L |
6.8056575474088 |
L(r)(E,1)/r! |
Ω |
0.24320052841827 |
Real period |
R |
6.9959321137937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19800bg2 13200g2 7920j2 |
Quadratic twists by: -4 -3 5 |