Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898bv |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-4238005764262825984 = -1 · 212 · 118 · 136 |
Discriminant |
Eigenvalues |
2- -2 3 -2 11- 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1063774,-433849404] |
[a1,a2,a3,a4,a6] |
Generators |
[1220:8586:1] |
Generators of the group modulo torsion |
j |
-128667913/4096 |
j-invariant |
L |
7.3430041434933 |
L(r)(E,1)/r! |
Ω |
0.074189752756104 |
Real period |
R |
2.7493330243293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40898s2 242b2 |
Quadratic twists by: -11 13 |