Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
7050bi |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-1863843750000 = -1 · 24 · 33 · 59 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7763,-271983] |
[a1,a2,a3,a4,a6] |
Generators |
[196:2299:1] |
Generators of the group modulo torsion |
j |
-26490242141/954288 |
j-invariant |
L |
7.1049561187134 |
L(r)(E,1)/r! |
Ω |
0.25377209590912 |
Real period |
R |
2.3331157605739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56400by1 21150bd1 7050a1 |
Quadratic twists by: -4 -3 5 |