Atkin-Lehner |
5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
17395h |
Isogeny class |
Conductor |
17395 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
-3044125 = -1 · 53 · 73 · 71 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 3 -4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-89,-339] |
[a1,a2,a3,a4,a6] |
Generators |
[11:1:1] |
Generators of the group modulo torsion |
j |
-223648543/8875 |
j-invariant |
L |
2.847576220187 |
L(r)(E,1)/r! |
Ω |
0.7764244083144 |
Real period |
R |
1.8337755676493 |
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 |
86975p1 17395l1 |
Quadratic twists by: 5 -7 |