Atkin-Lehner |
2+ 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018h |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
213891219869485158 = 2 · 310 · 78 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2442994146,46476932870214] |
[a1,a2,a3,a4,a6] |
Generators |
[43543:4738211:1] |
Generators of the group modulo torsion |
j |
2211889682389423686563629156897/293403593785302 |
j-invariant |
L |
4.0808627249488 |
L(r)(E,1)/r! |
Ω |
0.12494859167796 |
Real period |
R |
4.0825417379122 |
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 |
6006bd5 126126bz6 |
Quadratic twists by: -3 -7 |