Atkin-Lehner |
19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26011c |
Isogeny class |
Conductor |
26011 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76608 |
Modular degree for the optimal curve |
Δ |
-66737109624499 = -1 · 19 · 378 |
Discriminant |
Eigenvalues |
2 0 3 3 -1 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1369,-392561] |
[a1,a2,a3,a4,a6] |
Generators |
[5999843831798446:-106104585541302585:19210073083768] |
Generators of the group modulo torsion |
j |
110592/26011 |
j-invariant |
L |
13.200217880975 |
L(r)(E,1)/r! |
Ω |
0.29119532441001 |
Real period |
R |
22.665573198538 |
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 |
703b1 |
Quadratic twists by: 37 |