Atkin-Lehner |
2+ 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32240h |
Isogeny class |
Conductor |
32240 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
-6.9093721854579E+22 |
Discriminant |
Eigenvalues |
2+ 3 5- 0 -2 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5530612,-13601513716] |
[a1,a2,a3,a4,a6] |
Generators |
[130971:7330375:27] |
Generators of the group modulo torsion |
j |
-73080804850407726160896/269897350994451171875 |
j-invariant |
L |
10.594179230267 |
L(r)(E,1)/r! |
Ω |
0.045083317801269 |
Real period |
R |
4.3516873609219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16120h1 128960y1 |
Quadratic twists by: -4 8 |