Atkin-Lehner |
2- 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18648s |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
87720192 = 28 · 33 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 2 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12687,-550030] |
[a1,a2,a3,a4,a6] |
j |
32673586027248/12691 |
j-invariant |
L |
0.89968364462044 |
L(r)(E,1)/r! |
Ω |
0.44984182231022 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37296f1 18648c1 |
Quadratic twists by: -4 -3 |