Atkin-Lehner |
2+ 5+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
39050b |
Isogeny class |
Conductor |
39050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
429550000000 = 27 · 58 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 11+ 1 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-34875,2492125] |
[a1,a2,a3,a4,a6] |
Generators |
[115:-195:1] |
Generators of the group modulo torsion |
j |
300238092661681/27491200 |
j-invariant |
L |
3.0800836990683 |
L(r)(E,1)/r! |
Ω |
0.90109755700378 |
Real period |
R |
0.85453669115156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7810d1 |
Quadratic twists by: 5 |