Atkin-Lehner |
2+ 5+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450n |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9515520 |
Modular degree for the optimal curve |
Δ |
-2.75574161408E+23 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -5 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14159776,-32535766802] |
[a1,a2,a3,a4,a6] |
j |
-20094295813407647194609/17636746330112000000 |
j-invariant |
L |
0.15014800203637 |
L(r)(E,1)/r! |
Ω |
0.037537012830994 |
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 |
17290i1 |
Quadratic twists by: 5 |