Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592cl |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
3488287367393968128 = 232 · 3 · 115 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 11- 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-756161,-236345247] |
[a1,a2,a3,a4,a6] |
Generators |
[17847:2381280:1] |
Generators of the group modulo torsion |
j |
182400988413112561/13306760282112 |
j-invariant |
L |
7.1394732714619 |
L(r)(E,1)/r! |
Ω |
0.16264524273316 |
Real period |
R |
4.3895985773168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001453 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592bf1 21648bd1 |
Quadratic twists by: -4 8 |