Atkin-Lehner |
2- 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48642q |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7.7244598426425E+24 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-901035154,-10409755986145] |
[a1,a2,a3,a4,a6] |
Generators |
[-1385624733:-837628343:79507] |
Generators of the group modulo torsion |
j |
45665982647442133748327737/4360256204919005952 |
j-invariant |
L |
6.3611361729678 |
L(r)(E,1)/r! |
Ω |
0.027556027469451 |
Real period |
R |
14.427733143094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4422c3 |
Quadratic twists by: -11 |