Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
86240l |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
369600 |
Modular degree for the optimal curve |
Δ |
-51765560000000 = -1 · 29 · 57 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 11+ 2 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-159560,24481400] |
[a1,a2,a3,a4,a6] |
Generators |
[230:-50:1] |
Generators of the group modulo torsion |
j |
-7458308028872/859375 |
j-invariant |
L |
7.9979301644484 |
L(r)(E,1)/r! |
Ω |
0.60738828044629 |
Real period |
R |
0.94055276415905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989577 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86240o1 1760a1 |
Quadratic twists by: -4 -7 |