Atkin-Lehner |
2- 3- 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
129780j |
Isogeny class |
Conductor |
129780 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2451456 |
Modular degree for the optimal curve |
Δ |
378667338778587600 = 24 · 313 · 52 · 78 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-639768,-194723867] |
[a1,a2,a3,a4,a6] |
Generators |
[-3662:11907:8] [951:7546:1] |
Generators of the group modulo torsion |
j |
2482811465287991296/32464620951525 |
j-invariant |
L |
12.020515734791 |
L(r)(E,1)/r! |
Ω |
0.16894195112302 |
Real period |
R |
4.4469844709651 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43260g1 |
Quadratic twists by: -3 |