Atkin-Lehner |
2- 3- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
64050ch |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
737856000000 = 212 · 33 · 56 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6538,198692] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:614:1] |
Generators of the group modulo torsion |
j |
1978074236377/47222784 |
j-invariant |
L |
12.34883546301 |
L(r)(E,1)/r! |
Ω |
0.8990985590943 |
Real period |
R |
0.38151902685029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2562c1 |
Quadratic twists by: 5 |