Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10086i |
Isogeny class |
Conductor |
10086 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
98400 |
Modular degree for the optimal curve |
Δ |
-282857991316382304 = -1 · 25 · 33 · 419 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 0 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-300094,68228240] |
[a1,a2,a3,a4,a6] |
j |
-9129329/864 |
j-invariant |
L |
1.8080007562044 |
L(r)(E,1)/r! |
Ω |
0.30133345936739 |
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 |
80688l1 30258m1 10086a1 |
Quadratic twists by: -4 -3 41 |