Atkin-Lehner |
2- 3+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184br |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
10865885184 = 214 · 33 · 7 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1944,33264] |
[a1,a2,a3,a4,a6] |
Generators |
[44:176:1] |
Generators of the group modulo torsion |
j |
198461344537/2652804 |
j-invariant |
L |
4.9653673009334 |
L(r)(E,1)/r! |
Ω |
1.2840696200761 |
Real period |
R |
1.9334494175595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999654596 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398m1 |
Quadratic twists by: -4 |