Atkin-Lehner |
2- 3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128502bi |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-19502245807793496 = -1 · 23 · 33 · 1110 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38501,-7311499] |
[a1,a2,a3,a4,a6] |
Generators |
[421:-7350:1] |
Generators of the group modulo torsion |
j |
-131949968571/407722568 |
j-invariant |
L |
10.827081976373 |
L(r)(E,1)/r! |
Ω |
0.15732320907766 |
Real period |
R |
1.433763082445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.999999976127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128502g2 11682a2 |
Quadratic twists by: -3 -11 |