Atkin-Lehner |
2- 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18018ba |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
51925193845186662 = 2 · 310 · 72 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-99941,-5236905] |
[a1,a2,a3,a4,a6] |
Generators |
[3550:47307:8] |
Generators of the group modulo torsion |
j |
151433926001115913/71227975096278 |
j-invariant |
L |
6.2830261212339 |
L(r)(E,1)/r! |
Ω |
0.28109234964489 |
Real period |
R |
5.5880443999733 |
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 |
6006d3 126126fg4 |
Quadratic twists by: -3 -7 |