Atkin-Lehner |
3- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
120159j |
Isogeny class |
Conductor |
120159 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3811526757679754763 = -1 · 36 · 139 · 793 |
Discriminant |
Eigenvalues |
0 3- 0 1 6 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-248430,-105330222] |
[a1,a2,a3,a4,a6] |
Generators |
[66378:3210902:27] |
Generators of the group modulo torsion |
j |
-481890304000/1083206683 |
j-invariant |
L |
6.5607041102897 |
L(r)(E,1)/r! |
Ω |
0.10001670682565 |
Real period |
R |
2.7331700650148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000079193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13351b2 9243d2 |
Quadratic twists by: -3 13 |