Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574t |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
40496303232 = 27 · 32 · 74 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- -6 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17911,921050] |
[a1,a2,a3,a4,a6] |
Generators |
[76:-22:1] |
Generators of the group modulo torsion |
j |
18075297625/1152 |
j-invariant |
L |
4.5080963364491 |
L(r)(E,1)/r! |
Ω |
1.0882476614915 |
Real period |
R |
0.69042132227368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722fp1 35574k1 35574cl1 |
Quadratic twists by: -3 -7 -11 |