Atkin-Lehner |
2+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18032i |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1122245340272 = -1 · 24 · 78 · 233 |
Discriminant |
Eigenvalues |
2+ -3 4 7- -2 -5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2597,-1715] |
[a1,a2,a3,a4,a6] |
j |
1029037824/596183 |
j-invariant |
L |
1.0341955931476 |
L(r)(E,1)/r! |
Ω |
0.51709779657382 |
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 |
9016o1 72128bt1 2576g1 |
Quadratic twists by: -4 8 -7 |