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 |
7.7345986969146E+23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35554716,-69764025276] |
[a1,a2,a3,a4,a6] |
Generators |
[9343:638406:1] |
Generators of the group modulo torsion |
j |
6818484108085988673456577/1060987475571276305052 |
j-invariant |
L |
4.0808627249488 |
L(r)(E,1)/r! |
Ω |
0.062474295838979 |
Real period |
R |
8.1650834758243 |
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 |
6006bd4 126126bz3 |
Quadratic twists by: -3 -7 |