Atkin-Lehner |
2- 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018bh |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-961701092352 = -1 · 210 · 38 · 7 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,940,45623] |
[a1,a2,a3,a4,a6] |
Generators |
[9:229:1] |
Generators of the group modulo torsion |
j |
126128378375/1319205888 |
j-invariant |
L |
7.6535034691805 |
L(r)(E,1)/r! |
Ω |
0.64815593911817 |
Real period |
R |
0.59040602787604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006k1 126126fk1 |
Quadratic twists by: -3 -7 |