Atkin-Lehner |
2- 3- 5- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
26130bf |
Isogeny class |
Conductor |
26130 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
4031729316810000 = 24 · 312 · 54 · 132 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40105,469577] |
[a1,a2,a3,a4,a6] |
Generators |
[2:623:1] |
Generators of the group modulo torsion |
j |
7133783926582843921/4031729316810000 |
j-invariant |
L |
10.613476768455 |
L(r)(E,1)/r! |
Ω |
0.37872286748256 |
Real period |
R |
2.3353657075169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
78390l2 |
Quadratic twists by: -3 |