Atkin-Lehner |
2- 3+ 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
84048l |
Isogeny class |
Conductor |
84048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
-1851745536 = -1 · 28 · 35 · 172 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 2 -5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,188,1756] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:34:1] [9:64:1] |
Generators of the group modulo torsion |
j |
2855256752/7233381 |
j-invariant |
L |
8.5510855107119 |
L(r)(E,1)/r! |
Ω |
1.0371932093803 |
Real period |
R |
4.122224014456 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21012g1 |
Quadratic twists by: -4 |