Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84966ee |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
1020 |
Product of Tamagawa factors cp |
deg |
19975680 |
Modular degree for the optimal curve |
Δ |
-1.2808311791429E+24 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 5 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,25673598,-21395871036] |
[a1,a2,a3,a4,a6] |
Generators |
[17364:2370366:1] |
Generators of the group modulo torsion |
j |
2280364702703/1560674304 |
j-invariant |
L |
10.458350041812 |
L(r)(E,1)/r! |
Ω |
0.048723861548186 |
Real period |
R |
0.21043661209941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138u1 84966dg1 |
Quadratic twists by: -7 17 |