Atkin-Lehner |
2+ 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48642g |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-134130930087040128 = -1 · 27 · 32 · 1110 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11- 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,21294,17588916] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:4078:1] [219:5619:1] |
Generators of the group modulo torsion |
j |
602708730623/75713413248 |
j-invariant |
L |
5.2605044421618 |
L(r)(E,1)/r! |
Ω |
0.25237065699233 |
Real period |
R |
5.2110896179984 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4422l2 |
Quadratic twists by: -11 |