Atkin-Lehner |
2+ 3- 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550bh |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
6124566244313664000 = 29 · 318 · 53 · 72 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-814586,256641068] |
[a1,a2,a3,a4,a6] |
Generators |
[-792:20524:1] |
Generators of the group modulo torsion |
j |
478215620611545869261/48996529954509312 |
j-invariant |
L |
6.0536385988017 |
L(r)(E,1)/r! |
Ω |
0.23179013348829 |
Real period |
R |
0.72546930789316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001563 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74550cs2 |
Quadratic twists by: 5 |