Atkin-Lehner |
2- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18326bc |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-2233169902695424 = -1 · 210 · 79 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 2 -1 7- 11- -5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4409,-2268995] |
[a1,a2,a3,a4,a6] |
j |
234885113/55340032 |
j-invariant |
L |
4.3467212874273 |
L(r)(E,1)/r! |
Ω |
0.21733606437137 |
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 |
18326bg1 |
Quadratic twists by: -7 |