Atkin-Lehner |
2+ 3- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770q |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5016032122500 = 22 · 38 · 54 · 72 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4320,-17204] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:218:1] |
Generators of the group modulo torsion |
j |
12232183057921/6880702500 |
j-invariant |
L |
3.7772234046413 |
L(r)(E,1)/r! |
Ω |
0.63369627862603 |
Real period |
R |
1.4901552731488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999044 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16590q2 |
Quadratic twists by: -3 |