Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800ga |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-513216000000 = -1 · 212 · 36 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,567,34263] |
[a1,a2,a3,a4,a6] |
Generators |
[18:225:1] |
Generators of the group modulo torsion |
j |
314432/8019 |
j-invariant |
L |
8.0866600188299 |
L(r)(E,1)/r! |
Ω |
0.69699377429285 |
Real period |
R |
0.96684986259485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999702 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800ey2 26400bi1 2112s2 |
Quadratic twists by: -4 8 5 |