Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360dh |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
102144 |
Modular degree for the optimal curve |
Δ |
-24695640391680 = -1 · 215 · 37 · 5 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -2 4 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10465,-479905] |
[a1,a2,a3,a4,a6] |
Generators |
[143:984:1] |
Generators of the group modulo torsion |
j |
-3868414248392/753651135 |
j-invariant |
L |
6.7249352854198 |
L(r)(E,1)/r! |
Ω |
0.23355291709493 |
Real period |
R |
0.34278635605873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39360ce1 19680c1 118080em1 |
Quadratic twists by: -4 8 -3 |