Atkin-Lehner |
2- 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
49056o |
Isogeny class |
Conductor |
49056 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-33461686272 = -1 · 212 · 3 · 7 · 733 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 2 -3 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,639,6447] |
[a1,a2,a3,a4,a6] |
j |
7033743296/8169357 |
j-invariant |
L |
4.6650127266824 |
L(r)(E,1)/r! |
Ω |
0.77750212115796 |
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 |
49056n1 98112bh1 |
Quadratic twists by: -4 8 |