Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360fi |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
4.9782591518736E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9469560,3253383792] |
[a1,a2,a3,a4,a6] |
Generators |
[-2886:80850:1] |
Generators of the group modulo torsion |
j |
194878967635813609/103306896000000 |
j-invariant |
L |
6.1061769431496 |
L(r)(E,1)/r! |
Ω |
0.098838361759641 |
Real period |
R |
1.2870712970007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000093194 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170z2 18480cu2 |
Quadratic twists by: -4 -7 |