Atkin-Lehner |
3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
26499j |
Isogeny class |
Conductor |
26499 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
164352 |
Modular degree for the optimal curve |
Δ |
-3358586487675969 = -1 · 316 · 114 · 732 |
Discriminant |
Eigenvalues |
-1 3- -1 -4 11- -5 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27046,-3274171] |
[a1,a2,a3,a4,a6] |
Generators |
[455:-9097:1] |
Generators of the group modulo torsion |
j |
-149438708709169/229395976209 |
j-invariant |
L |
2.3444874012 |
L(r)(E,1)/r! |
Ω |
0.17656727691265 |
Real period |
R |
0.41494229603906 |
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 |
79497g1 26499k1 |
Quadratic twists by: -3 -11 |