Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680cc |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-31434480 = -1 · 24 · 36 · 5 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 3 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100,505] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:27:1] |
Generators of the group modulo torsion |
j |
-142476544/40095 |
j-invariant |
L |
6.1755283070693 |
L(r)(E,1)/r! |
Ω |
1.9770736111675 |
Real period |
R |
0.78089256168083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994248 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360cq1 64680cm1 |
Quadratic twists by: -4 -7 |