Atkin-Lehner |
2+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
18368f |
Isogeny class |
Conductor |
18368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7424 |
Modular degree for the optimal curve |
Δ |
9404416 = 215 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3 3 7+ -2 4 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76,-208] |
[a1,a2,a3,a4,a6] |
j |
1481544/287 |
j-invariant |
L |
6.5549602784399 |
L(r)(E,1)/r! |
Ω |
1.63874006961 |
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 |
18368p1 9184b1 128576bb1 |
Quadratic twists by: -4 8 -7 |