Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
33282bg |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-6852468658374108018 = -1 · 2 · 332 · 432 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 1 -4 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-735647,-273388935] |
[a1,a2,a3,a4,a6] |
Generators |
[220126:36385671:8] [240884:14228433:64] |
Generators of the group modulo torsion |
j |
-32663831300214001/5083731656658 |
j-invariant |
L |
9.2690034359052 |
L(r)(E,1)/r! |
Ω |
0.080815707892716 |
Real period |
R |
28.673273048016 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11094g2 33282j2 |
Quadratic twists by: -3 -43 |