Atkin-Lehner |
3- 5- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
67575k |
Isogeny class |
Conductor |
67575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23296 |
Modular degree for the optimal curve |
Δ |
17231625 = 32 · 53 · 172 · 53 |
Discriminant |
Eigenvalues |
1 3- 5- 2 0 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1591,-24547] |
[a1,a2,a3,a4,a6] |
Generators |
[4886:118063:8] |
Generators of the group modulo torsion |
j |
3559850710109/137853 |
j-invariant |
L |
9.8038150455995 |
L(r)(E,1)/r! |
Ω |
0.75598942978551 |
Real period |
R |
6.4840953185875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67575f1 |
Quadratic twists by: 5 |