Atkin-Lehner |
2+ 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150j |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
2864508945408000000 = 216 · 37 · 56 · 113 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1582225,761039125] |
[a1,a2,a3,a4,a6] |
Generators |
[801:2498:1] |
Generators of the group modulo torsion |
j |
28035534600833657617/183328572506112 |
j-invariant |
L |
4.4389828623879 |
L(r)(E,1)/r! |
Ω |
0.25575062589687 |
Real period |
R |
2.892780709606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2046j1 |
Quadratic twists by: 5 |