Atkin-Lehner |
2- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122018x |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1270080 |
Modular degree for the optimal curve |
Δ |
-133979332345151488 = -1 · 214 · 137 · 194 |
Discriminant |
Eigenvalues |
2- 2 0 0 -3 13+ 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,120747,-6972997] |
[a1,a2,a3,a4,a6] |
j |
309512375/212992 |
j-invariant |
L |
5.2028602575748 |
L(r)(E,1)/r! |
Ω |
0.18581646257014 |
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 |
9386b1 122018m1 |
Quadratic twists by: 13 -19 |