Atkin-Lehner |
2+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
7504k |
Isogeny class |
Conductor |
7504 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
367696 = 24 · 73 · 67 |
Discriminant |
Eigenvalues |
2+ -3 3 7- 4 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3646,-84737] |
[a1,a2,a3,a4,a6] |
j |
335006877100032/22981 |
j-invariant |
L |
1.8431753136297 |
L(r)(E,1)/r! |
Ω |
0.6143917712099 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3752b1 30016ca1 67536w1 52528p1 |
Quadratic twists by: -4 8 -3 -7 |