Atkin-Lehner |
2+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18032h |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2350080 |
Modular degree for the optimal curve |
Δ |
-7.0501893148048E+22 |
Discriminant |
Eigenvalues |
2+ -3 0 7- 6 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1196825,-12764985443] |
[a1,a2,a3,a4,a6] |
j |
100718081964000000/37453512751940327 |
j-invariant |
L |
0.92447447907895 |
L(r)(E,1)/r! |
Ω |
0.051359693282164 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9016j1 72128br1 2576f1 |
Quadratic twists by: -4 8 -7 |