Atkin-Lehner |
2- 3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310br |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
7241215775625000000 = 26 · 313 · 510 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-992633,-357712423] |
[a1,a2,a3,a4,a6] |
Generators |
[1221:15184:1] |
Generators of the group modulo torsion |
j |
148375399462325710921/9933080625000000 |
j-invariant |
L |
9.5061738461436 |
L(r)(E,1)/r! |
Ω |
0.15188884472252 |
Real period |
R |
2.6077660781837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770g1 |
Quadratic twists by: -3 |