Atkin-Lehner |
2+ 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89782p |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.1216854837216E+19 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19940278,34276701300] |
[a1,a2,a3,a4,a6] |
Generators |
[72417:-283109:27] [82502:7654349:8] |
Generators of the group modulo torsion |
j |
494949898813825959057/11976361433344 |
j-invariant |
L |
7.4239668441668 |
L(r)(E,1)/r! |
Ω |
0.19940827152473 |
Real period |
R |
9.3074961069246 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000737 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8162g2 |
Quadratic twists by: -11 |