Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944bt |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-874720390680576 = -1 · 212 · 316 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23469,-331310] |
[a1,a2,a3,a4,a6] |
Generators |
[303:5882:1] |
Generators of the group modulo torsion |
j |
478762350767/292942089 |
j-invariant |
L |
6.103680384799 |
L(r)(E,1)/r! |
Ω |
0.28916100387044 |
Real period |
R |
5.2770604465186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4059b2 21648ba2 |
Quadratic twists by: -4 -3 |