Atkin-Lehner |
2- 3+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
112200bu |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16128000 |
Modular degree for the optimal curve |
Δ |
-3.4060440899507E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11+ -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17116292,84501513412] |
[a1,a2,a3,a4,a6] |
j |
5545653710603493680/34060440899506923 |
j-invariant |
L |
1.3780855312225 |
L(r)(E,1)/r! |
Ω |
0.057420220985804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112200t1 |
Quadratic twists by: 5 |