Atkin-Lehner |
5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32725j |
Isogeny class |
Conductor |
32725 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-121266578125 = -1 · 56 · 73 · 113 · 17 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3542,83741] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-91:1] |
Generators of the group modulo torsion |
j |
-314570740401/7761061 |
j-invariant |
L |
5.6458462146865 |
L(r)(E,1)/r! |
Ω |
1.0452422839156 |
Real period |
R |
0.6001634795392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1309c1 |
Quadratic twists by: 5 |