Atkin-Lehner |
2- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
26560t |
Isogeny class |
Conductor |
26560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
-33200000000 = -1 · 210 · 58 · 83 |
Discriminant |
Eigenvalues |
2- -3 5- -3 1 2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-712,11416] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:76:1] [-23:125:1] |
Generators of the group modulo torsion |
j |
-38981965824/32421875 |
j-invariant |
L |
5.2613303182498 |
L(r)(E,1)/r! |
Ω |
1.0685960405205 |
Real period |
R |
0.307724465019 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26560g1 6640a1 |
Quadratic twists by: -4 8 |