Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360hk |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.4449220397216E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1305925280,-17879561964300] |
[a1,a2,a3,a4,a6] |
Generators |
[-155780732862188:1342184119485630:6826561273] |
Generators of the group modulo torsion |
j |
1490171974311284012503/26891921826316800 |
j-invariant |
L |
9.3712954413981 |
L(r)(E,1)/r! |
Ω |
0.025141760199735 |
Real period |
R |
23.296139805395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077183 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170br2 129360dx2 |
Quadratic twists by: -4 -7 |