Atkin-Lehner |
2- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
18326bg |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-18981630976 = -1 · 210 · 73 · 11 · 173 |
Discriminant |
Eigenvalues |
2- -2 1 7- 11- 5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,90,6628] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-128:1] |
Generators of the group modulo torsion |
j |
234885113/55340032 |
j-invariant |
L |
6.19557840197 |
L(r)(E,1)/r! |
Ω |
0.94520688997411 |
Real period |
R |
0.1092455430955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18326bc1 |
Quadratic twists by: -7 |