Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
69620a |
Isogeny class |
Conductor |
69620 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9.954605939276E+18 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1240396,-509185080] |
[a1,a2,a3,a4,a6] |
Generators |
[-113843772446588266801071971650601873154:623628919507865591507246487147184389377:203424677327575886651310274683450264] |
Generators of the group modulo torsion |
j |
19545784144/921875 |
j-invariant |
L |
8.1158165415594 |
L(r)(E,1)/r! |
Ω |
0.1434752122819 |
Real period |
R |
56.565983850981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000746 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1180a2 |
Quadratic twists by: -59 |