Atkin-Lehner |
2- 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121752bd |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-5388443908817400576 = -1 · 28 · 318 · 193 · 892 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 3 -2 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,112668,-110731052] |
[a1,a2,a3,a4,a6] |
j |
847535647609856/28873263400299 |
j-invariant |
L |
2.7891377554434 |
L(r)(E,1)/r! |
Ω |
0.1162140634078 |
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 |
40584i1 |
Quadratic twists by: -3 |