Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640bn |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
673920 |
Modular degree for the optimal curve |
Δ |
-3.9443397964992E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 0 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,466699,275969085] |
[a1,a2,a3,a4,a6] |
Generators |
[508:25375:1] |
Generators of the group modulo torsion |
j |
2744564518708084736/9629735831296875 |
j-invariant |
L |
4.6044985762806 |
L(r)(E,1)/r! |
Ω |
0.14503268257286 |
Real period |
R |
3.1748006687866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2415c1 115920fa1 |
Quadratic twists by: -4 -3 |