Atkin-Lehner |
2+ 3+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
43608a |
Isogeny class |
Conductor |
43608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-385145856 = -1 · 210 · 32 · 232 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,176,-356] |
[a1,a2,a3,a4,a6] |
Generators |
[10:48:1] |
Generators of the group modulo torsion |
j |
585452732/376119 |
j-invariant |
L |
2.6366226555365 |
L(r)(E,1)/r! |
Ω |
0.96822745486328 |
Real period |
R |
1.3615719334763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87216c1 |
Quadratic twists by: -4 |