Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26928bp |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
884472348672 = 216 · 38 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55731,5063794] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:3168:1] [-25:2538:1] |
Generators of the group modulo torsion |
j |
6411014266033/296208 |
j-invariant |
L |
6.7110725112392 |
L(r)(E,1)/r! |
Ω |
0.83527818736027 |
Real period |
R |
2.008633953572 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3366c1 107712dm1 8976bc1 |
Quadratic twists by: -4 8 -3 |