Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10086h |
Isogeny class |
Conductor |
10086 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
3780 |
Modular degree for the optimal curve |
Δ |
-209143296 = -1 · 29 · 35 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 4 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-343,-2566] |
[a1,a2,a3,a4,a6] |
j |
-2643729241/124416 |
j-invariant |
L |
2.7667919135539 |
L(r)(E,1)/r! |
Ω |
0.55335838271078 |
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 |
80688j1 30258o1 10086f1 |
Quadratic twists by: -4 -3 41 |