Atkin-Lehner |
2+ 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
9888d |
Isogeny class |
Conductor |
9888 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
15488 |
Modular degree for the optimal curve |
Δ |
-74736193536 = -1 · 212 · 311 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 0 -1 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3457,78191] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:396:1] [23093:-135108:343] |
Generators of the group modulo torsion |
j |
-1115802998848/18246141 |
j-invariant |
L |
5.6353706231205 |
L(r)(E,1)/r! |
Ω |
1.0922273040099 |
Real period |
R |
0.11726185987181 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9888b1 19776w1 29664g1 |
Quadratic twists by: -4 8 -3 |