Atkin-Lehner |
2- 3- 5- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
107010x |
Isogeny class |
Conductor |
107010 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-91120352625000 = -1 · 23 · 36 · 56 · 293 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 -1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11173,62579] |
[a1,a2,a3,a4,a6] |
Generators |
[11606:437313:8] |
Generators of the group modulo torsion |
j |
211612842162071/124993625000 |
j-invariant |
L |
11.260673912971 |
L(r)(E,1)/r! |
Ω |
0.36695070648277 |
Real period |
R |
5.1145261629131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999823614 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
11890a2 |
Quadratic twists by: -3 |