Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800cn |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.833445940832E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-887552033,-10177740743937] |
[a1,a2,a3,a4,a6] |
Generators |
[-84488419:-5741604:4913] |
Generators of the group modulo torsion |
j |
151020262560470148771848/35809491031875 |
j-invariant |
L |
7.9020969537483 |
L(r)(E,1)/r! |
Ω |
0.027659931805435 |
Real period |
R |
5.9518230568245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800b4 26400b4 10560g3 |
Quadratic twists by: -4 8 5 |