Atkin-Lehner |
5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32725l |
Isogeny class |
Conductor |
32725 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-5746821779158075 = -1 · 52 · 74 · 117 · 173 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- 11- 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10715,-3672204] |
[a1,a2,a3,a4,a6] |
Generators |
[306:-4659:1] |
Generators of the group modulo torsion |
j |
-5442021203742720/229872871166323 |
j-invariant |
L |
2.3844374338807 |
L(r)(E,1)/r! |
Ω |
0.18666515128595 |
Real period |
R |
0.45620984524855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32725p1 |
Quadratic twists by: 5 |