Atkin-Lehner |
2- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18032x |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12491078569984 = 212 · 78 · 232 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6811,133770] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:588:1] [7:294:1] |
Generators of the group modulo torsion |
j |
72511713/25921 |
j-invariant |
L |
6.2133744302291 |
L(r)(E,1)/r! |
Ω |
0.65224144324465 |
Real period |
R |
4.7630938623896 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1127a2 72128bw2 2576l2 |
Quadratic twists by: -4 8 -7 |