Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680ca |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-29348550000 = -1 · 24 · 32 · 55 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5840,173937] |
[a1,a2,a3,a4,a6] |
Generators |
[104:-825:1] |
Generators of the group modulo torsion |
j |
-28100921008384/37434375 |
j-invariant |
L |
5.6031330441729 |
L(r)(E,1)/r! |
Ω |
1.1758832489804 |
Real period |
R |
0.07941736631133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001347 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360cn1 64680cl1 |
Quadratic twists by: -4 -7 |