Atkin-Lehner |
3- 7- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120099q |
Isogeny class |
Conductor |
120099 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
607569671793 = 3 · 78 · 19 · 432 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4975,-130147] |
[a1,a2,a3,a4,a6] |
j |
115714886617/5164257 |
j-invariant |
L |
4.5603586826914 |
L(r)(E,1)/r! |
Ω |
0.57004480931065 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17157c1 |
Quadratic twists by: -7 |