Atkin-Lehner |
2- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
42640i |
Isogeny class |
Conductor |
42640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-76817665600000000 = -1 · 212 · 58 · 134 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -6 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1443456,-668117900] |
[a1,a2,a3,a4,a6] |
Generators |
[53330244:770851250:35937] |
Generators of the group modulo torsion |
j |
-81203493801081633409/18754312890625 |
j-invariant |
L |
2.2594536165768 |
L(r)(E,1)/r! |
Ω |
0.068867232245598 |
Real period |
R |
8.2022085936414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999831 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2665b2 |
Quadratic twists by: -4 |