Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350cw |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
2612736 |
Modular degree for the optimal curve |
Δ |
-8.27639639541E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-249605,1385030397] |
[a1,a2,a3,a4,a6] |
Generators |
[-601:-36000:1] |
Generators of the group modulo torsion |
j |
-4076600308125723/1961812478912000 |
j-invariant |
L |
10.494728385049 |
L(r)(E,1)/r! |
Ω |
0.12860114336663 |
Real period |
R |
0.25187285386721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64350a2 12870i1 |
Quadratic twists by: -3 5 |