Atkin-Lehner |
3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18513p |
Isogeny class |
Conductor |
18513 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1364352 |
Modular degree for the optimal curve |
Δ |
-5.8321432490031E+21 |
Discriminant |
Eigenvalues |
-2 3- -2 3 11- -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4979271,-5638216158] |
[a1,a2,a3,a4,a6] |
Generators |
[3630:155303:1] |
Generators of the group modulo torsion |
j |
-87367919423488/37321507107 |
j-invariant |
L |
2.3187561517331 |
L(r)(E,1)/r! |
Ω |
0.049501919893209 |
Real period |
R |
3.9034784858435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6171i1 18513s1 |
Quadratic twists by: -3 -11 |