Atkin-Lehner |
3- 5+ 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
26445i |
Isogeny class |
Conductor |
26445 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-65064616875 = -1 · 310 · 54 · 41 · 43 |
Discriminant |
Eigenvalues |
-2 3- 5+ 1 -2 -2 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,124,-12220] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-338:1] |
Generators of the group modulo torsion |
j |
209161465856/65064616875 |
j-invariant |
L |
2.6886891740457 |
L(r)(E,1)/r! |
Ω |
0.51774166639043 |
Real period |
R |
0.25965547575016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79335o1 |
Quadratic twists by: -3 |