Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
6570bb |
Isogeny class |
Conductor |
6570 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-10474702110 = -1 · 2 · 315 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-122,-4921] |
[a1,a2,a3,a4,a6] |
Generators |
[1302:15869:8] |
Generators of the group modulo torsion |
j |
-273359449/14368590 |
j-invariant |
L |
6.1358572485502 |
L(r)(E,1)/r! |
Ω |
0.56340613548684 |
Real period |
R |
5.445323419533 |
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 |
52560bh1 2190d1 32850g1 |
Quadratic twists by: -4 -3 5 |