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 |
51383697530880000 = 216 · 3 · 54 · 114 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2566816,1583670016] |
[a1,a2,a3,a4,a6] |
j |
456612868287073618849/12544848030000 |
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 |
4290w3 102960ea4 |
Quadratic twists by: -4 -3 |