Atkin-Lehner |
2- 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32736i |
Isogeny class |
Conductor |
32736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
2029632 = 26 · 3 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54,-120] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] [20:80:1] |
Generators of the group modulo torsion |
j |
277167808/31713 |
j-invariant |
L |
6.0875151768581 |
L(r)(E,1)/r! |
Ω |
1.7715663670811 |
Real period |
R |
3.4362332058089 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32736n1 65472cp2 98208j1 |
Quadratic twists by: -4 8 -3 |