Atkin-Lehner |
2+ 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320q |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
2601299687500800 = 210 · 35 · 52 · 114 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-136416,-19282716] |
[a1,a2,a3,a4,a6] |
Generators |
[-216:390:1] |
Generators of the group modulo torsion |
j |
274171855990660996/2540331726075 |
j-invariant |
L |
6.4854807950708 |
L(r)(E,1)/r! |
Ω |
0.24855690179416 |
Real period |
R |
0.65231348921083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17160r3 102960bu4 |
Quadratic twists by: -4 -3 |