Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350bm |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-2.0439334652344E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-134442,218375716] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:14858:1] |
Generators of the group modulo torsion |
j |
-23592983745241/1794399750000 |
j-invariant |
L |
4.101321008788 |
L(r)(E,1)/r! |
Ω |
0.17804709794831 |
Real period |
R |
1.4396896438386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000685 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21450bo1 12870bw1 |
Quadratic twists by: -3 5 |