Atkin-Lehner |
2+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
64064i |
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 |
[156:143:27] |
Generators of the group modulo torsion |
j |
467288576/1860859 |
j-invariant |
L |
10.198393418256 |
L(r)(E,1)/r! |
Ω |
0.94527434185938 |
Real period |
R |
1.7981364363136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64064n1 32032a1 |
Quadratic twists by: -4 8 |