Atkin-Lehner |
5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
32725r |
Isogeny class |
Conductor |
32725 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-125164432421875 = -1 · 58 · 72 · 113 · 173 |
Discriminant |
Eigenvalues |
0 -2 5- 7- 11- -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-13333,-805006] |
[a1,a2,a3,a4,a6] |
Generators |
[1114:1921:8] |
Generators of the group modulo torsion |
j |
-671088640000/320420947 |
j-invariant |
L |
2.6340011935862 |
L(r)(E,1)/r! |
Ω |
0.21718448081968 |
Real period |
R |
2.0213239789243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
32725c1 |
Quadratic twists by: 5 |