Atkin-Lehner |
2- 3+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34224w |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.0907494085555E+23 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 0 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52708184,-146410058256] |
[a1,a2,a3,a4,a6] |
Generators |
[-18345353978900644949945342770:-116981674241242877091203280718:4280674726248645280535279] |
Generators of the group modulo torsion |
j |
3953647378583456180060377/26629624232312995584 |
j-invariant |
L |
4.162787078485 |
L(r)(E,1)/r! |
Ω |
0.056053960623416 |
Real period |
R |
37.13196206109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4278h2 102672cj2 |
Quadratic twists by: -4 -3 |