Atkin-Lehner |
5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
35035c |
Isogeny class |
Conductor |
35035 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.6967902023703E+19 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11+ 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1994260,-1054292709] |
[a1,a2,a3,a4,a6] |
Generators |
[-210544129210882:-939566445396559:239598771931] |
Generators of the group modulo torsion |
j |
7455571334873897481/229223385015625 |
j-invariant |
L |
4.7710830960653 |
L(r)(E,1)/r! |
Ω |
0.12728326694385 |
Real period |
R |
18.741988678565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5005b2 |
Quadratic twists by: -7 |