Atkin-Lehner |
2- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
10528g |
Isogeny class |
Conductor |
10528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-1347584 = -1 · 212 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 1 3 7- -3 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49,-161] |
[a1,a2,a3,a4,a6] |
Generators |
[15:52:1] |
Generators of the group modulo torsion |
j |
-3241792/329 |
j-invariant |
L |
6.28743004565 |
L(r)(E,1)/r! |
Ω |
0.89556080735608 |
Real period |
R |
1.7551655884239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10528e1 21056y1 94752t1 73696o1 |
Quadratic twists by: -4 8 -3 -7 |