Atkin-Lehner |
2+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
86152b |
Isogeny class |
Conductor |
86152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-19535810978816 = -1 · 210 · 118 · 89 |
Discriminant |
Eigenvalues |
2+ -1 -3 0 11- 2 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3912,233884] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:484:1] |
Generators of the group modulo torsion |
j |
-3650692/10769 |
j-invariant |
L |
3.2543951207723 |
L(r)(E,1)/r! |
Ω |
0.60327509735516 |
Real period |
R |
1.3486364386401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7832b1 |
Quadratic twists by: -11 |