Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55506bd |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
706650105348 = 22 · 33 · 11 · 296 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4643,112925] |
[a1,a2,a3,a4,a6] |
Generators |
[16790:191263:1000] |
Generators of the group modulo torsion |
j |
18609625/1188 |
j-invariant |
L |
9.2770550725825 |
L(r)(E,1)/r! |
Ω |
0.8880970063809 |
Real period |
R |
5.2229964778338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999764 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66a1 |
Quadratic twists by: 29 |