Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592cz |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
930682503168 = 224 · 3 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7041,220287] |
[a1,a2,a3,a4,a6] |
Generators |
[73843:78720:1331] |
Generators of the group modulo torsion |
j |
147281603041/3550272 |
j-invariant |
L |
10.637902413069 |
L(r)(E,1)/r! |
Ω |
0.8817759037588 |
Real period |
R |
6.0320895438553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592t1 21648v1 |
Quadratic twists by: -4 8 |