Atkin-Lehner |
2- 3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770bc |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
117954900 = 22 · 33 · 52 · 7 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-473,-3803] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:10:1] |
Generators of the group modulo torsion |
j |
432595802547/4368700 |
j-invariant |
L |
7.3872573784335 |
L(r)(E,1)/r! |
Ω |
1.024521024414 |
Real period |
R |
1.8026124409275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49770e2 |
Quadratic twists by: -3 |