Atkin-Lehner |
5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
32725h |
Isogeny class |
Conductor |
32725 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-58721624951171875 = -1 · 511 · 7 · 112 · 175 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 11+ -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,29967,-11476656] |
[a1,a2,a3,a4,a6] |
Generators |
[218:2337:1] |
Generators of the group modulo torsion |
j |
190466673606656/3758183996875 |
j-invariant |
L |
3.064681373543 |
L(r)(E,1)/r! |
Ω |
0.17100534858857 |
Real period |
R |
0.89607763699735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6545a1 |
Quadratic twists by: 5 |