Atkin-Lehner |
2+ 3+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
96624c |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-37103616 = -1 · 211 · 33 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 11+ -5 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27,298] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:12:1] [-1:18:1] |
Generators of the group modulo torsion |
j |
-39366/671 |
j-invariant |
L |
11.21066161413 |
L(r)(E,1)/r! |
Ω |
1.7335322321992 |
Real period |
R |
0.80836841432452 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48312l1 96624f1 |
Quadratic twists by: -4 -3 |