Atkin-Lehner |
5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32725n |
Isogeny class |
Conductor |
32725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-304240234375 = -1 · 59 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
-1 0 5- 7+ 11- -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4930,137072] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-79:1] |
Generators of the group modulo torsion |
j |
-6783468957/155771 |
j-invariant |
L |
2.224745127774 |
L(r)(E,1)/r! |
Ω |
0.96882635091824 |
Real period |
R |
1.1481650585089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32725s1 |
Quadratic twists by: 5 |