Atkin-Lehner |
2- 3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122892y |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1285632 |
Modular degree for the optimal curve |
Δ |
-6071022801752832 = -1 · 28 · 39 · 78 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11+ -3 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,42859,1560327] |
[a1,a2,a3,a4,a6] |
j |
289075625984/201573603 |
j-invariant |
L |
4.8380083304928 |
L(r)(E,1)/r! |
Ω |
0.26877814266122 |
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 |
17556g1 |
Quadratic twists by: -7 |