Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3528x |
Isogeny class |
Conductor |
3528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
28817416656 = 24 · 37 · 77 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3234,-70315] |
[a1,a2,a3,a4,a6] |
j |
2725888/21 |
j-invariant |
L |
2.5335313012759 |
L(r)(E,1)/r! |
Ω |
0.63338282531898 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7056v1 28224cd1 1176c1 88200bx1 |
Quadratic twists by: -4 8 -3 5 |