Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966cb |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-4503064133579730012 = -1 · 22 · 38 · 73 · 298 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 4 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,340447,67575309] |
[a1,a2,a3,a4,a6] |
Generators |
[124460400791814560:-16371458964159948999:7256313856000] |
Generators of the group modulo torsion |
j |
10063705679/10384668 |
j-invariant |
L |
15.123463131516 |
L(r)(E,1)/r! |
Ω |
0.16185008143708 |
Real period |
R |
23.360295823227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35322f1 3654j1 |
Quadratic twists by: -3 29 |