Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608cb |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
1.557714068697E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-862140,-242646896] |
[a1,a2,a3,a4,a6] |
Generators |
[1340:31752:1] |
Generators of the group modulo torsion |
j |
5933482010818000/1304188224633 |
j-invariant |
L |
7.9238678814075 |
L(r)(E,1)/r! |
Ω |
0.15913053172017 |
Real period |
R |
1.2448691955266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001463 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608ec1 9576ba1 25536bn1 |
Quadratic twists by: -4 8 -3 |