Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350cy |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
714662050781250 = 2 · 39 · 510 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74630,7759747] |
[a1,a2,a3,a4,a6] |
Generators |
[-1666:31015:8] |
Generators of the group modulo torsion |
j |
149467669443/2323750 |
j-invariant |
L |
9.0673968046822 |
L(r)(E,1)/r! |
Ω |
0.50892629860153 |
Real period |
R |
4.4541797255902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000529 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64350c2 12870b2 |
Quadratic twists by: -3 5 |