Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
26026h |
Isogeny class |
Conductor |
26026 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
718080 |
Modular degree for the optimal curve |
Δ |
-2.1073420970404E+20 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-758137,742898213] |
[a1,a2,a3,a4,a6] |
Generators |
[1033:32093:1] |
Generators of the group modulo torsion |
j |
-1687307648503512841/7378390452156416 |
j-invariant |
L |
3.4893209755258 |
L(r)(E,1)/r! |
Ω |
0.15475044567146 |
Real period |
R |
0.56370128053357 |
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 |
26026j1 |
Quadratic twists by: 13 |