Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71050bo |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
121423339843750 = 2 · 514 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51855,4526897] |
[a1,a2,a3,a4,a6] |
Generators |
[13332:99085:64] |
Generators of the group modulo torsion |
j |
2877223707567/22656250 |
j-invariant |
L |
9.3925740834668 |
L(r)(E,1)/r! |
Ω |
0.59172423753189 |
Real period |
R |
7.9366142943775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14210f2 71050bp2 |
Quadratic twists by: 5 -7 |