Atkin-Lehner |
2+ 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
64130a |
Isogeny class |
Conductor |
64130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1106496 |
Modular degree for the optimal curve |
Δ |
-1037258911132812500 = -1 · 22 · 517 · 112 · 532 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 11- -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,131327,-45393223] |
[a1,a2,a3,a4,a6] |
j |
2070118683639885791/8572387695312500 |
j-invariant |
L |
0.56065812938401 |
L(r)(E,1)/r! |
Ω |
0.14016453132133 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64130l1 |
Quadratic twists by: -11 |