Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
59094cd |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-287350011648 = -1 · 28 · 36 · 73 · 672 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22511,1305847] |
[a1,a2,a3,a4,a6] |
Generators |
[79:86:1] |
Generators of the group modulo torsion |
j |
-5045083293951/1149184 |
j-invariant |
L |
7.6343704868108 |
L(r)(E,1)/r! |
Ω |
0.9487837482224 |
Real period |
R |
0.50290506801178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6566c1 59094cb1 |
Quadratic twists by: -3 -7 |