Atkin-Lehner |
5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
32725u |
Isogeny class |
Conductor |
32725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-175385546875 = -1 · 58 · 74 · 11 · 17 |
Discriminant |
Eigenvalues |
-2 0 5- 7- 11- -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-125,20156] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:87:1] |
Generators of the group modulo torsion |
j |
-552960/448987 |
j-invariant |
L |
2.5305294873346 |
L(r)(E,1)/r! |
Ω |
0.82034531501868 |
Real period |
R |
0.25705937904095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32725e1 |
Quadratic twists by: 5 |