Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28152j |
Isogeny class |
Conductor |
28152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
62976 |
Modular degree for the optimal curve |
Δ |
6713238528 = 210 · 36 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 -2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27003,1707910] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:1840:1] |
Generators of the group modulo torsion |
j |
2916972108004/8993 |
j-invariant |
L |
6.4277432366907 |
L(r)(E,1)/r! |
Ω |
1.1616208631659 |
Real period |
R |
2.7667130646966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56304q1 3128a1 |
Quadratic twists by: -4 -3 |