Atkin-Lehner |
2+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
71104i |
Isogeny class |
Conductor |
71104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
273408 |
Modular degree for the optimal curve |
Δ |
-25629294592 = -1 · 221 · 112 · 101 |
Discriminant |
Eigenvalues |
2+ 2 0 -1 11- 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-374593,88369473] |
[a1,a2,a3,a4,a6] |
Generators |
[291:1980:1] |
Generators of the group modulo torsion |
j |
-22175014984908625/97768 |
j-invariant |
L |
9.3659873436571 |
L(r)(E,1)/r! |
Ω |
0.80307853823975 |
Real period |
R |
2.9156511151773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001369 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71104m1 2222a1 |
Quadratic twists by: -4 8 |