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 |
2623269856416446523 = 3 · 118 · 132 · 176 |
Discriminant |
Eigenvalues |
-1 3+ 2 0 11- 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-869607,-302606406] |
[a1,a2,a3,a4,a6] |
Generators |
[1191:18189:1] |
Generators of the group modulo torsion |
j |
3013001140430737/108679952667 |
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 |
429b5 |
Quadratic twists by: 17 |