Atkin-Lehner |
2+ 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018f |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1878322446 = 2 · 38 · 7 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6021,181327] |
[a1,a2,a3,a4,a6] |
Generators |
[9:353:1] |
Generators of the group modulo torsion |
j |
33116363266897/2576574 |
j-invariant |
L |
4.2397977583422 |
L(r)(E,1)/r! |
Ω |
1.411964715892 |
Real period |
R |
1.5013823329373 |
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 |
6006s2 126126bx2 |
Quadratic twists by: -3 -7 |