Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18648i |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5520845723904 = 28 · 38 · 74 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65271,-6417430] |
[a1,a2,a3,a4,a6] |
Generators |
[11314:417989:8] |
Generators of the group modulo torsion |
j |
164784750161488/29582721 |
j-invariant |
L |
4.1425030856555 |
L(r)(E,1)/r! |
Ω |
0.29869239594451 |
Real period |
R |
6.9343966265969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37296bf2 6216m2 |
Quadratic twists by: -4 -3 |