Atkin-Lehner |
3+ 5+ 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
26445c |
Isogeny class |
Conductor |
26445 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-5950125 = -1 · 33 · 53 · 41 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5+ -3 -4 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28,-143] |
[a1,a2,a3,a4,a6] |
Generators |
[8:11:1] |
Generators of the group modulo torsion |
j |
-2565726409/5950125 |
j-invariant |
L |
2.4126307708244 |
L(r)(E,1)/r! |
Ω |
0.96504721320703 |
Real period |
R |
2.500013199154 |
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 |
79335k1 |
Quadratic twists by: -3 |