Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680bs |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-1629936000000 = -1 · 210 · 33 · 56 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1640,-65988] |
[a1,a2,a3,a4,a6] |
j |
-1389715708/4640625 |
j-invariant |
L |
2.070608933236 |
L(r)(E,1)/r! |
Ω |
0.34510149027234 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360dc1 64680co1 |
Quadratic twists by: -4 -7 |