Atkin-Lehner |
3+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64575d |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-3089308359375 = -1 · 39 · 57 · 72 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1308,-82909] |
[a1,a2,a3,a4,a6] |
j |
804357/10045 |
j-invariant |
L |
1.5696892778153 |
L(r)(E,1)/r! |
Ω |
0.39242231882053 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64575b1 12915a1 |
Quadratic twists by: -3 5 |