Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360bb |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
3962107330560000 = 234 · 32 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-312961,67215839] |
[a1,a2,a3,a4,a6] |
Generators |
[-391:11400:1] |
Generators of the group modulo torsion |
j |
12931706531187361/15114240000 |
j-invariant |
L |
6.6921823649607 |
L(r)(E,1)/r! |
Ω |
0.43881997472123 |
Real period |
R |
3.8126012661631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360br1 1230f1 118080bx1 |
Quadratic twists by: -4 8 -3 |