Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28392c |
Isogeny class |
Conductor |
28392 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
19633536 |
Modular degree for the optimal curve |
Δ |
7.835432444406E+28 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 3 13+ -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1092516104,3437235031788] |
[a1,a2,a3,a4,a6] |
Generators |
[-379608647799424743288861614:741031984225301341148409418429:343954060614469654035688] |
Generators of the group modulo torsion |
j |
86323786849188610514/46901442470561469 |
j-invariant |
L |
3.8763202098641 |
L(r)(E,1)/r! |
Ω |
0.029933257719988 |
Real period |
R |
43.166258370821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56784w1 85176bt1 28392x1 |
Quadratic twists by: -4 -3 13 |