Atkin-Lehner |
2- 3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
26448p |
Isogeny class |
Conductor |
26448 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-40703472 = -1 · 24 · 35 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 3 -1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38,-333] |
[a1,a2,a3,a4,a6] |
Generators |
[31:171:1] |
Generators of the group modulo torsion |
j |
-389344000/2543967 |
j-invariant |
L |
6.8072228180411 |
L(r)(E,1)/r! |
Ω |
0.85440353846656 |
Real period |
R |
0.79672221749671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6612a1 105792bl1 79344bm1 |
Quadratic twists by: -4 8 -3 |