Atkin-Lehner |
2- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
64064bo |
Isogeny class |
Conductor |
64064 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-34530496 = -1 · 26 · 73 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 11- 13- -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-187,-1089] |
[a1,a2,a3,a4,a6] |
Generators |
[22:77:1] |
Generators of the group modulo torsion |
j |
-11360276992/539539 |
j-invariant |
L |
3.5324913695756 |
L(r)(E,1)/r! |
Ω |
0.6434485608837 |
Real period |
R |
0.91498932062967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64064z1 32032k1 |
Quadratic twists by: -4 8 |