Atkin-Lehner |
3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18207b |
Isogeny class |
Conductor |
18207 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-32056406823515571 = -1 · 313 · 72 · 177 |
Discriminant |
Eigenvalues |
2 3- -3 7+ -3 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-110109,-16491713] |
[a1,a2,a3,a4,a6] |
j |
-8390176768/1821771 |
j-invariant |
L |
1.0363202795948 |
L(r)(E,1)/r! |
Ω |
0.12954003494934 |
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 |
6069a1 127449bo1 1071d1 |
Quadratic twists by: -3 -7 17 |