Atkin-Lehner |
3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50715br |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
77810026785435 = 36 · 5 · 79 · 232 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 6 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-83799,-9306410] |
[a1,a2,a3,a4,a6] |
Generators |
[-1868077344:2025049193:11239424] |
Generators of the group modulo torsion |
j |
2212245127/2645 |
j-invariant |
L |
8.4282993708011 |
L(r)(E,1)/r! |
Ω |
0.28062139637157 |
Real period |
R |
15.017207311705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5635b2 50715bc2 |
Quadratic twists by: -3 -7 |