Atkin-Lehner |
2- 3+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
26226p |
Isogeny class |
Conductor |
26226 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
12768 |
Modular degree for the optimal curve |
Δ |
-3670800768 = -1 · 27 · 39 · 31 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 -4 4 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,349,-1565] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-118:1] |
Generators of the group modulo torsion |
j |
239483061/186496 |
j-invariant |
L |
6.6155693680452 |
L(r)(E,1)/r! |
Ω |
0.78040790963648 |
Real period |
R |
0.60550471530484 |
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 |
26226b1 |
Quadratic twists by: -3 |