Atkin-Lehner |
3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32487g |
Isogeny class |
Conductor |
32487 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
27378451737 = 34 · 76 · 132 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- -2 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1618,23078] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:231:1] |
Generators of the group modulo torsion |
j |
3981876625/232713 |
j-invariant |
L |
2.207632353059 |
L(r)(E,1)/r! |
Ω |
1.1666195044322 |
Real period |
R |
0.94616639987245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97461v1 663c1 |
Quadratic twists by: -3 -7 |