Atkin-Lehner |
2- 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11628f |
Isogeny class |
Conductor |
11628 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
23760 |
Modular degree for the optimal curve |
Δ |
-17420790528 = -1 · 28 · 36 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -2 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144336,-21106204] |
[a1,a2,a3,a4,a6] |
j |
-1781887227854848/93347 |
j-invariant |
L |
1.1022202883097 |
L(r)(E,1)/r! |
Ω |
0.1224689209233 |
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 |
46512bm1 1292b1 |
Quadratic twists by: -4 -3 |