Atkin-Lehner |
5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
85255a |
Isogeny class |
Conductor |
85255 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-5030045 = -1 · 5 · 172 · 592 |
Discriminant |
Eigenvalues |
1 1 5+ -3 0 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6679,-210629] |
[a1,a2,a3,a4,a6] |
j |
-113989992369481/17405 |
j-invariant |
L |
0.52811618413384 |
L(r)(E,1)/r! |
Ω |
0.26405809375333 |
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 |
85255d1 |
Quadratic twists by: 17 |