Atkin-Lehner |
3- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
79935d |
Isogeny class |
Conductor |
79935 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
358922888015625 = 310 · 56 · 733 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 0 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17850,106875] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:1050:1] |
Generators of the group modulo torsion |
j |
1616855892553/922640625 |
j-invariant |
L |
4.8674291285298 |
L(r)(E,1)/r! |
Ω |
0.46123608391964 |
Real period |
R |
0.35176700907603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79935b1 |
Quadratic twists by: 73 |