Atkin-Lehner |
2- 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320ba |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
75383193600 = 214 · 32 · 52 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1056,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:90:1] [-22:110:1] |
Generators of the group modulo torsion |
j |
31824875809/18404100 |
j-invariant |
L |
7.0766094980116 |
L(r)(E,1)/r! |
Ω |
0.916672224471 |
Real period |
R |
1.9299727070098 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4290z2 102960ek2 |
Quadratic twists by: -4 -3 |