Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360dd |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
3060633600 = 212 · 36 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39865,3050375] |
[a1,a2,a3,a4,a6] |
Generators |
[113:-36:1] |
Generators of the group modulo torsion |
j |
1710605891820736/747225 |
j-invariant |
L |
7.0362416590277 |
L(r)(E,1)/r! |
Ω |
1.1589064830557 |
Real period |
R |
0.50595408702824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360cb1 19680p1 118080eg1 |
Quadratic twists by: -4 8 -3 |