Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11270d |
Isogeny class |
Conductor |
11270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
12622400 = 26 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-65,125] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:20:1] |
Generators of the group modulo torsion |
j |
89314623/36800 |
j-invariant |
L |
2.6166193512782 |
L(r)(E,1)/r! |
Ω |
2.0363131974637 |
Real period |
R |
0.64248941531619 |
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 |
90160br1 101430ev1 56350bf1 11270h1 |
Quadratic twists by: -4 -3 5 -7 |