Atkin-Lehner |
2- 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320be |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
75383193600000000 = 220 · 32 · 58 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-166816,22710016] |
[a1,a2,a3,a4,a6] |
j |
125337052492018849/18404100000000 |
j-invariant |
L |
1.3219982019383 |
L(r)(E,1)/r! |
Ω |
0.33049955048385 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4290w2 102960ea2 |
Quadratic twists by: -4 -3 |