Atkin-Lehner |
2+ 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666ba |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
45826560 |
Modular degree for the optimal curve |
Δ |
-1.1541664116144E+25 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 3 13+ 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-163763877,823012169488] |
[a1,a2,a3,a4,a6] |
j |
-595430701735421505577/14148865328984064 |
j-invariant |
L |
4.2920028972916 |
L(r)(E,1)/r! |
Ω |
0.071533380387518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
120666cb1 |
Quadratic twists by: 13 |