Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41140d |
Isogeny class |
Conductor |
41140 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
110234054554250000 = 24 · 56 · 1110 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11- 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5070666,4393147009] |
[a1,a2,a3,a4,a6] |
Generators |
[1314:875:1] |
Generators of the group modulo torsion |
j |
34743372953344/265625 |
j-invariant |
L |
4.3095118752398 |
L(r)(E,1)/r! |
Ω |
0.29925642923997 |
Real period |
R |
2.4001221328178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41140i2 |
Quadratic twists by: -11 |