Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10920d |
Isogeny class |
Conductor |
10920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
29352960 = 210 · 32 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-176,-804] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:6:1] |
Generators of the group modulo torsion |
j |
592143556/28665 |
j-invariant |
L |
3.9049165887751 |
L(r)(E,1)/r! |
Ω |
1.3140682137191 |
Real period |
R |
1.4858119799289 |
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 |
21840n1 87360dl1 32760br1 54600ca1 |
Quadratic twists by: -4 8 -3 5 |