Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040cc |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-209088000000 = -1 · 212 · 33 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- -2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-95861,-11391939] |
[a1,a2,a3,a4,a6] |
Generators |
[83491884:1959786375:117649] |
Generators of the group modulo torsion |
j |
-196566176333824/421875 |
j-invariant |
L |
3.298912153179 |
L(r)(E,1)/r! |
Ω |
0.13566213163226 |
Real period |
R |
12.158559332243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1815d2 116160iz2 87120fv2 29040bz2 |
Quadratic twists by: -4 8 -3 -11 |