Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150ft |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-4.1953949189534E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,242095,308182097] |
[a1,a2,a3,a4,a6] |
Generators |
[93:18160:1] |
Generators of the group modulo torsion |
j |
137763859017023/3683199928848 |
j-invariant |
L |
11.008778384773 |
L(r)(E,1)/r! |
Ω |
0.15284415751705 |
Real period |
R |
1.1254088153236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050x3 3366h4 |
Quadratic twists by: -3 5 |