Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
26550s |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-2688187500 = -1 · 22 · 36 · 56 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 2 2 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,108,-2484] |
[a1,a2,a3,a4,a6] |
Generators |
[28:134:1] |
Generators of the group modulo torsion |
j |
12167/236 |
j-invariant |
L |
4.573524876122 |
L(r)(E,1)/r! |
Ω |
0.6994643409506 |
Real period |
R |
3.2693052442862 |
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 |
2950l1 1062l1 |
Quadratic twists by: -3 5 |