Atkin-Lehner |
2- 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
49056n |
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 |
3.7620993441492 |
L(r)(E,1)/r! |
Ω |
0.62701655737747 |
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 |
49056o1 98112cj1 |
Quadratic twists by: -4 8 |