Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gj |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-4.2517921202195E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2788501,-2049455101] |
[a1,a2,a3,a4,a6] |
Generators |
[7094:578985:1] |
Generators of the group modulo torsion |
j |
-11947588428895092736/2118439154286675 |
j-invariant |
L |
8.6029253609 |
L(r)(E,1)/r! |
Ω |
0.057856478722162 |
Real period |
R |
2.0651978259321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8085c2 129360eq2 |
Quadratic twists by: -4 -7 |