Atkin-Lehner |
2- 5- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
80240s |
Isogeny class |
Conductor |
80240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-128384000000 = -1 · 213 · 56 · 17 · 59 |
Discriminant |
Eigenvalues |
2- -1 5- 4 0 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7080,-227600] |
[a1,a2,a3,a4,a6] |
j |
-9583516100521/31343750 |
j-invariant |
L |
3.1221396934365 |
L(r)(E,1)/r! |
Ω |
0.26017830791619 |
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 |
10030d1 |
Quadratic twists by: -4 |