Atkin-Lehner |
2+ 3+ 5- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34770g |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
33815112533100 = 22 · 314 · 52 · 19 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1508017,-713411879] |
[a1,a2,a3,a4,a6] |
Generators |
[1602:30589:1] |
Generators of the group modulo torsion |
j |
379265094388531566535321/33815112533100 |
j-invariant |
L |
3.5935858036466 |
L(r)(E,1)/r! |
Ω |
0.13623790610287 |
Real period |
R |
6.5943207482439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104310bw2 |
Quadratic twists by: -3 |