Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630k |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-2.8455896668977E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3919909854,124539996104656] |
[a1,a2,a3,a4,a6] |
Generators |
[617996:483143787:1] [11516305:2913477369:125] |
Generators of the group modulo torsion |
j |
-34746676503328815289/14843406974976000 |
j-invariant |
L |
8.49741987678 |
L(r)(E,1)/r! |
Ω |
0.023838397394443 |
Real period |
R |
19.803297773364 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111630y2 |
Quadratic twists by: 61 |