Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350ct |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
45738371250000000 = 27 · 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,-5064230,-4385222603] |
[a1,a2,a3,a4,a6] |
Generators |
[2609:11195:1] |
Generators of the group modulo torsion |
j |
46703838741180867/148720000 |
j-invariant |
L |
10.887487929803 |
L(r)(E,1)/r! |
Ω |
0.10064015313945 |
Real period |
R |
3.8636552359503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000302 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64350m2 12870f2 |
Quadratic twists by: -3 5 |