Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360dt |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2116606782259200 = 214 · 3 · 52 · 76 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1256376,542449776] |
[a1,a2,a3,a4,a6] |
Generators |
[698:2254:1] |
Generators of the group modulo torsion |
j |
455129268177961/4392300 |
j-invariant |
L |
4.4634258014576 |
L(r)(E,1)/r! |
Ω |
0.41887364734951 |
Real period |
R |
2.6639452313374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999549654 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170u3 2640w3 |
Quadratic twists by: -4 -7 |