Atkin-Lehner |
2+ 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
64158d |
Isogeny class |
Conductor |
64158 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-57376849099081536 = -1 · 26 · 310 · 177 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 1 5 1 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-197537,35621493] |
[a1,a2,a3,a4,a6] |
j |
-35316607651129/2377076544 |
j-invariant |
L |
2.7729005681192 |
L(r)(E,1)/r! |
Ω |
0.34661256999328 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3774l1 |
Quadratic twists by: 17 |