Atkin-Lehner |
2- 3+ 7+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18354q |
Isogeny class |
Conductor |
18354 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6462571878 = -1 · 2 · 38 · 72 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -2 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-69,-3903] |
[a1,a2,a3,a4,a6] |
Generators |
[1422:18283:8] |
Generators of the group modulo torsion |
j |
-36363385297/6462571878 |
j-invariant |
L |
4.862892521322 |
L(r)(E,1)/r! |
Ω |
0.59537802905703 |
Real period |
R |
4.0838696458315 |
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 |
55062n2 128478ci2 |
Quadratic twists by: -3 -7 |