Atkin-Lehner |
3+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123981h |
Isogeny class |
Conductor |
123981 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7147381632571281387 = -1 · 3 · 112 · 138 · 176 |
Discriminant |
Eigenvalues |
-1 3+ 2 0 11- 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,387543,89166618] |
[a1,a2,a3,a4,a6] |
Generators |
[849:31685:1] |
Generators of the group modulo torsion |
j |
266679605718863/296110251723 |
j-invariant |
L |
4.1840398514203 |
L(r)(E,1)/r! |
Ω |
0.15668626656992 |
Real period |
R |
3.3379120212715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000165881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
429b6 |
Quadratic twists by: 17 |