Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600da |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-243880243200 = -1 · 212 · 39 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ 1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3360,78640] |
[a1,a2,a3,a4,a6] |
Generators |
[41:99:1] |
Generators of the group modulo torsion |
j |
-56197120/3267 |
j-invariant |
L |
5.413757250443 |
L(r)(E,1)/r! |
Ω |
0.97421407017275 |
Real period |
R |
1.3892627442453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2475i1 13200ch1 39600ei1 |
Quadratic twists by: -4 -3 5 |