Atkin-Lehner |
3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19635r |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
33674025 = 3 · 52 · 74 · 11 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-309,-2093] |
[a1,a2,a3,a4,a6] |
j |
3247709677129/33674025 |
j-invariant |
L |
2.2797141638089 |
L(r)(E,1)/r! |
Ω |
1.1398570819045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58905bq1 98175d1 |
Quadratic twists by: -3 5 |