Atkin-Lehner |
2+ 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
49056c |
Isogeny class |
Conductor |
49056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-395587584 = -1 · 212 · 33 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 4 -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-189,-1323] |
[a1,a2,a3,a4,a6] |
j |
-183250432/96579 |
j-invariant |
L |
2.5119370091544 |
L(r)(E,1)/r! |
Ω |
0.62798425220248 |
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 |
49056p1 98112x1 |
Quadratic twists by: -4 8 |