Atkin-Lehner |
2+ 5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
79120d |
Isogeny class |
Conductor |
79120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-25318400 = -1 · 210 · 52 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 3 1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,64,164] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:10:1] |
Generators of the group modulo torsion |
j |
27871484/24725 |
j-invariant |
L |
7.7897110254143 |
L(r)(E,1)/r! |
Ω |
1.3820575360377 |
Real period |
R |
1.4090786425902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39560d1 |
Quadratic twists by: -4 |