Atkin-Lehner |
2+ 3- 5+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
120510g |
Isogeny class |
Conductor |
120510 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8294400 |
Modular degree for the optimal curve |
Δ |
1.254567487095E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18908955,-31597587675] |
[a1,a2,a3,a4,a6] |
Generators |
[-3277395:8768385:1331] |
Generators of the group modulo torsion |
j |
1025649048898676034172081/1720943055000000000 |
j-invariant |
L |
5.186158674216 |
L(r)(E,1)/r! |
Ω |
0.072406314170606 |
Real period |
R |
3.5812888988234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000176119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40170v1 |
Quadratic twists by: -3 |