Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344cr |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1026780235712 = 26 · 78 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4511,-105936] |
[a1,a2,a3,a4,a6] |
Generators |
[96:588:1] |
Generators of the group modulo torsion |
j |
158621560987968/16043441183 |
j-invariant |
L |
2.8718426744882 |
L(r)(E,1)/r! |
Ω |
0.58634603724905 |
Real period |
R |
4.897863224847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999935969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344ee1 56672w3 |
Quadratic twists by: -4 8 |