Atkin-Lehner |
2- 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320ba |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4825666560000 = -1 · 213 · 3 · 54 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4224,-4224] |
[a1,a2,a3,a4,a6] |
Generators |
[26:350:1] [50:574:1] |
Generators of the group modulo torsion |
j |
2034382787711/1178141250 |
j-invariant |
L |
7.0766094980116 |
L(r)(E,1)/r! |
Ω |
0.4583361122355 |
Real period |
R |
7.719890828039 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290z4 102960ek3 |
Quadratic twists by: -4 -3 |