Atkin-Lehner |
2+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200p |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
402688000 = 211 · 53 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11+ 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2755,55650] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:252:1] [-25:330:1] |
Generators of the group modulo torsion |
j |
9033344154/1573 |
j-invariant |
L |
9.5082197072143 |
L(r)(E,1)/r! |
Ω |
1.6322851997383 |
Real period |
R |
1.4562742633362 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28600l2 57200q2 |
Quadratic twists by: -4 5 |