Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64064bf |
Isogeny class |
Conductor |
64064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-81376436119666688 = -1 · 236 · 72 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44236,14184336] |
[a1,a2,a3,a4,a6] |
Generators |
[2848:151620:1] |
Generators of the group modulo torsion |
j |
-36518366116233/310426468352 |
j-invariant |
L |
3.7116397670032 |
L(r)(E,1)/r! |
Ω |
0.29298764823883 |
Real period |
R |
6.3341232795541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000917 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64064d1 16016m1 |
Quadratic twists by: -4 8 |