Atkin-Lehner |
2+ 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53360b |
Isogeny class |
Conductor |
53360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
402766767115520 = 28 · 5 · 232 · 296 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 0 -2 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22236,842000] |
[a1,a2,a3,a4,a6] |
Generators |
[-17180:141588:125] |
Generators of the group modulo torsion |
j |
4749777587821264/1573307684045 |
j-invariant |
L |
6.2844009188974 |
L(r)(E,1)/r! |
Ω |
0.49102175170718 |
Real period |
R |
6.3993101090781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999098 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26680d2 |
Quadratic twists by: -4 |