Atkin-Lehner |
3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
18513s |
Isogeny class |
Conductor |
18513 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124032 |
Modular degree for the optimal curve |
Δ |
-3292092820401363 = -1 · 323 · 112 · 172 |
Discriminant |
Eigenvalues |
2 3- -2 -3 11- 2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-41151,4236075] |
[a1,a2,a3,a4,a6] |
j |
-87367919423488/37321507107 |
j-invariant |
L |
1.6751838886405 |
L(r)(E,1)/r! |
Ω |
0.41879597216012 |
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 |
6171e1 18513p1 |
Quadratic twists by: -3 -11 |