Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320bz |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2775472128000 = 214 · 36 · 53 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-469216,123554420] |
[a1,a2,a3,a4,a6] |
Generators |
[356:1326:1] |
Generators of the group modulo torsion |
j |
2789222297765780449/677605500 |
j-invariant |
L |
6.9749053719957 |
L(r)(E,1)/r! |
Ω |
0.64271595563833 |
Real period |
R |
1.8087060364191 |
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 |
4290r2 102960ec2 |
Quadratic twists by: -4 -3 |