Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6240u |
Isogeny class |
Conductor |
6240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-5240401920 = -1 · 212 · 39 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,179,-3419] |
[a1,a2,a3,a4,a6] |
j |
153990656/1279395 |
j-invariant |
L |
1.3488872345358 |
L(r)(E,1)/r! |
Ω |
0.67444361726792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6240bb1 12480dc1 18720p1 31200t1 |
Quadratic twists by: -4 8 -3 5 |