Atkin-Lehner |
19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26011a |
Isogeny class |
Conductor |
26011 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-48748801771 = -1 · 19 · 376 |
Discriminant |
Eigenvalues |
0 -2 -3 -1 3 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,913,-165] |
[a1,a2,a3,a4,a6] |
Generators |
[170:1365:8] |
Generators of the group modulo torsion |
j |
32768/19 |
j-invariant |
L |
2.0827097577609 |
L(r)(E,1)/r! |
Ω |
0.67062936949224 |
Real period |
R |
1.5528023767717 |
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 |
19a3 |
Quadratic twists by: 37 |