Atkin-Lehner |
2- 3+ 7- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774bo |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
5398098651792 = 24 · 39 · 74 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5780,128359] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:557:1] |
Generators of the group modulo torsion |
j |
1084789546875/274251824 |
j-invariant |
L |
10.897046248545 |
L(r)(E,1)/r! |
Ω |
0.71492956363624 |
Real period |
R |
0.95263285403574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984251 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774d1 |
Quadratic twists by: -3 |