Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39882ba |
Isogeny class |
Conductor |
39882 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2974320 |
Modular degree for the optimal curve |
Δ |
-1.3372748906433E+22 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 3 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12822214,18526342808] |
[a1,a2,a3,a4,a6] |
Generators |
[-2288:190583:1] |
Generators of the group modulo torsion |
j |
-33421147343264089/1917031809024 |
j-invariant |
L |
5.497332724304 |
L(r)(E,1)/r! |
Ω |
0.12411893209514 |
Real period |
R |
2.4606026527718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119646cv1 39882g1 |
Quadratic twists by: -3 17 |