Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680x |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
119246400 = 26 · 32 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-190,800] |
[a1,a2,a3,a4,a6] |
j |
11914842304/1863225 |
j-invariant |
L |
3.5693896563986 |
L(r)(E,1)/r! |
Ω |
1.7846948281052 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43680f1 87360eu2 |
Quadratic twists by: -4 8 |