Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
6240m |
Isogeny class |
Conductor |
6240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-219348480 = -1 · 29 · 3 · 5 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,104,620] |
[a1,a2,a3,a4,a6] |
Generators |
[31:186:1] |
Generators of the group modulo torsion |
j |
240641848/428415 |
j-invariant |
L |
4.4359414040499 |
L(r)(E,1)/r! |
Ω |
1.2161619393325 |
Real period |
R |
3.6474923779349 |
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 |
6240c4 12480cb4 18720bp4 31200be2 |
Quadratic twists by: -4 8 -3 5 |