Atkin-Lehner |
2+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28600a |
Isogeny class |
Conductor |
28600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
10067200 = 28 · 52 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 11+ 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-593,5363] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-22:1] |
Generators of the group modulo torsion |
j |
3609441280/1573 |
j-invariant |
L |
6.7568675113975 |
L(r)(E,1)/r! |
Ω |
2.2548523619884 |
Real period |
R |
0.37457372072904 |
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 |
57200h1 28600u1 |
Quadratic twists by: -4 5 |