Atkin-Lehner |
2- 3+ 5- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
65790bu |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
134976 |
Modular degree for the optimal curve |
Δ |
-1293484032000 = -1 · 219 · 33 · 53 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 5 -5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1502,59501] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:259:1] |
Generators of the group modulo torsion |
j |
-13870708507683/47906816000 |
j-invariant |
L |
12.738022373634 |
L(r)(E,1)/r! |
Ω |
0.75300740014151 |
Real period |
R |
0.14838770288892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65790c1 |
Quadratic twists by: -3 |