Atkin-Lehner |
2+ 3+ 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
113520h |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
-539447040 = -1 · 28 · 34 · 5 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60,1152] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:36:1] |
Generators of the group modulo torsion |
j |
-94875856/2107215 |
j-invariant |
L |
4.8226476193199 |
L(r)(E,1)/r! |
Ω |
1.3802221009145 |
Real period |
R |
1.7470549237031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999687033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56760j1 |
Quadratic twists by: -4 |