Atkin-Lehner |
7- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
65807a |
Isogeny class |
Conductor |
65807 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
66528 |
Modular degree for the optimal curve |
Δ |
776266808191 = 76 · 174 · 79 |
Discriminant |
Eigenvalues |
-1 -1 -1 7- -2 5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2451,-20630] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:154:1] |
Generators of the group modulo torsion |
j |
13841287201/6598159 |
j-invariant |
L |
1.5751838615691 |
L(r)(E,1)/r! |
Ω |
0.71117854984517 |
Real period |
R |
1.1074461275873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966399 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1343a1 |
Quadratic twists by: -7 |