Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600jo |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-15980544000 = -1 · 214 · 33 · 53 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-273,-6417] |
[a1,a2,a3,a4,a6] |
Generators |
[57:408:1] |
Generators of the group modulo torsion |
j |
-1102736/7803 |
j-invariant |
L |
8.8244715326347 |
L(r)(E,1)/r! |
Ω |
0.52066840930563 |
Real period |
R |
1.4123626754113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600bv1 20400q1 81600gw1 |
Quadratic twists by: -4 8 5 |