Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600ci |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-166402916352000 = -1 · 219 · 310 · 53 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 4 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13712,52672] |
[a1,a2,a3,a4,a6] |
Generators |
[616:15552:1] |
Generators of the group modulo torsion |
j |
556832393083/325005696 |
j-invariant |
L |
6.4886184199618 |
L(r)(E,1)/r! |
Ω |
0.34664767003881 |
Real period |
R |
1.1698871398848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6450bn1 51600dw1 |
Quadratic twists by: -4 5 |