Atkin-Lehner |
2+ 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
39050k |
Isogeny class |
Conductor |
39050 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
55584 |
Modular degree for the optimal curve |
Δ |
-157226038750 = -1 · 2 · 54 · 116 · 71 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 11- 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-576,-19852] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1189:1] |
Generators of the group modulo torsion |
j |
-33730815625/251561662 |
j-invariant |
L |
2.5188450226155 |
L(r)(E,1)/r! |
Ω |
0.43102376234618 |
Real period |
R |
2.9219328986733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999883 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
39050p1 |
Quadratic twists by: 5 |