Atkin-Lehner |
2+ 7+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9338a |
Isogeny class |
Conductor |
9338 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
795308122 = 2 · 72 · 234 · 29 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ -4 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-232,174] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:37:1] [31:133:1] |
Generators of the group modulo torsion |
j |
1384331873625/795308122 |
j-invariant |
L |
4.2145860751168 |
L(r)(E,1)/r! |
Ω |
1.3592315833019 |
Real period |
R |
1.5503561449331 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74704o2 84042bh2 65366i2 |
Quadratic twists by: -4 -3 -7 |