Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28392x |
Isogeny class |
Conductor |
28392 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1510272 |
Modular degree for the optimal curve |
Δ |
1.6233152056371E+22 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -3 13+ -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6464592,1566502092] |
[a1,a2,a3,a4,a6] |
Generators |
[-20726:242501:8] |
Generators of the group modulo torsion |
j |
86323786849188610514/46901442470561469 |
j-invariant |
L |
5.1543799840012 |
L(r)(E,1)/r! |
Ω |
0.1079258955511 |
Real period |
R |
5.3065011338275 |
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 |
56784k1 85176bd1 28392c1 |
Quadratic twists by: -4 -3 13 |