Atkin-Lehner |
3- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
116865bg |
Isogeny class |
Conductor |
116865 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
3833756325 = 310 · 52 · 72 · 53 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -3 -5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-639,5620] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:92:1] |
Generators of the group modulo torsion |
j |
808509121/107325 |
j-invariant |
L |
7.7873330844836 |
L(r)(E,1)/r! |
Ω |
1.3443478905099 |
Real period |
R |
1.4481618086863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38955b1 116865n1 |
Quadratic twists by: -3 -7 |