Atkin-Lehner |
2+ 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5474a |
Isogeny class |
Conductor |
5474 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-264035631104 = -1 · 222 · 7 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ -2 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,629,-24123] |
[a1,a2,a3,a4,a6] |
Generators |
[551:12662:1] |
Generators of the group modulo torsion |
j |
27497120138487/264035631104 |
j-invariant |
L |
3.0743149745463 |
L(r)(E,1)/r! |
Ω |
0.48470960300223 |
Real period |
R |
6.3425914310433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43792j1 49266bu1 38318g1 93058f1 |
Quadratic twists by: -4 -3 -7 17 |