Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6240q |
Isogeny class |
Conductor |
6240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-62400 = -1 · 26 · 3 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10,0] |
[a1,a2,a3,a4,a6] |
Generators |
[9:30:1] |
Generators of the group modulo torsion |
j |
1560896/975 |
j-invariant |
L |
4.8350498683127 |
L(r)(E,1)/r! |
Ω |
2.0158020210995 |
Real period |
R |
2.3985737774364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6240g1 12480bw1 18720be1 31200bn1 |
Quadratic twists by: -4 8 -3 5 |