Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680bh |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-8444985026400000000 = -1 · 211 · 37 · 58 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-122187,-140779366] |
[a1,a2,a3,a4,a6] |
Generators |
[679:9450:1] |
Generators of the group modulo torsion |
j |
-27995042/1171875 |
j-invariant |
L |
8.403871078141 |
L(r)(E,1)/r! |
Ω |
0.1016408874982 |
Real period |
R |
5.1676245053155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026771 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60840bs5 40560a5 720c6 |
Quadratic twists by: -4 -3 13 |