Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680di |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
7471944461520 = 24 · 38 · 5 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-535635,150708438] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:14553:1] |
Generators of the group modulo torsion |
j |
9028656748079104/3969405 |
j-invariant |
L |
8.9204459927208 |
L(r)(E,1)/r! |
Ω |
0.60513177524426 |
Real period |
R |
0.92133300108623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360bu1 1320e1 |
Quadratic twists by: -4 -7 |