Atkin-Lehner |
2+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64064n |
Isogeny class |
Conductor |
64064 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-119094976 = -1 · 26 · 7 · 112 · 133 |
Discriminant |
Eigenvalues |
2+ -2 1 7- 11+ 13- 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,65,507] |
[a1,a2,a3,a4,a6] |
Generators |
[26:143:1] |
Generators of the group modulo torsion |
j |
467288576/1860859 |
j-invariant |
L |
4.6015955710699 |
L(r)(E,1)/r! |
Ω |
1.329491431869 |
Real period |
R |
0.57686163053353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64064i1 32032l1 |
Quadratic twists by: -4 8 |