Atkin-Lehner |
2- 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536w |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
14988644352 = 212 · 35 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1088,12864] |
[a1,a2,a3,a4,a6] |
j |
34805634625/3659337 |
j-invariant |
L |
2.4177192111701 |
L(r)(E,1)/r! |
Ω |
1.2088596055851 |
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 |
1221b1 78144cq1 58608be1 |
Quadratic twists by: -4 8 -3 |