Atkin-Lehner |
2+ 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018j |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-105921623808 = -1 · 28 · 310 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,882,-12204] |
[a1,a2,a3,a4,a6] |
Generators |
[28:170:1] [39:264:1] |
Generators of the group modulo torsion |
j |
104021936927/145297152 |
j-invariant |
L |
4.9423183253541 |
L(r)(E,1)/r! |
Ω |
0.56286093980273 |
Real period |
R |
2.1951773412656 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006bb1 126126cm1 |
Quadratic twists by: -3 -7 |