Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
6240i |
Isogeny class |
Conductor |
6240 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-6833548800000 = -1 · 212 · 35 · 55 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4675,-27723] |
[a1,a2,a3,a4,a6] |
Generators |
[19:260:1] |
Generators of the group modulo torsion |
j |
2758136205824/1668346875 |
j-invariant |
L |
3.9321107298543 |
L(r)(E,1)/r! |
Ω |
0.43469444503873 |
Real period |
R |
0.30152296436668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6240be1 12480w1 18720bi1 31200by1 |
Quadratic twists by: -4 8 -3 5 |