Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984h |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-2688549704338176 = -1 · 28 · 37 · 710 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 1 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4660945,3874658173] |
[a1,a2,a3,a4,a6] |
Generators |
[2725788:821387:2197] |
Generators of the group modulo torsion |
j |
-371806976516936704/89266779 |
j-invariant |
L |
5.6088029647221 |
L(r)(E,1)/r! |
Ω |
0.36222225743044 |
Real period |
R |
7.7422119288178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19992z1 119952v1 5712i1 |
Quadratic twists by: -4 -3 -7 |