Atkin-Lehner |
7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
39151d |
Isogeny class |
Conductor |
39151 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-78303291983 = -1 · 78 · 172 · 47 |
Discriminant |
Eigenvalues |
-1 0 -2 7- -4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1896,-34030] |
[a1,a2,a3,a4,a6] |
Generators |
[58:191:1] |
Generators of the group modulo torsion |
j |
-6403769793/665567 |
j-invariant |
L |
1.7818228712339 |
L(r)(E,1)/r! |
Ω |
0.35965159691024 |
Real period |
R |
2.4771513411029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5593b1 |
Quadratic twists by: -7 |