Atkin-Lehner |
2- 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018bs |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
1339764064076325888 = 210 · 315 · 73 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2781101930,-56450543058007] |
[a1,a2,a3,a4,a6] |
j |
3263224124812796801735447265625/1837810787484672 |
j-invariant |
L |
3.7421210607334 |
L(r)(E,1)/r! |
Ω |
0.020789561448519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006o1 126126fn1 |
Quadratic twists by: -3 -7 |