Atkin-Lehner |
2+ 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
39050k |
Isogeny class |
Conductor |
39050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-216536155000 = -1 · 23 · 54 · 112 · 713 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 11- 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-76201,-8102652] |
[a1,a2,a3,a4,a6] |
Generators |
[93138:1306697:216] |
Generators of the group modulo torsion |
j |
-78292022833065625/346457848 |
j-invariant |
L |
2.5188450226155 |
L(r)(E,1)/r! |
Ω |
0.14367458744873 |
Real period |
R |
8.7657986960199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39050p2 |
Quadratic twists by: 5 |