Atkin-Lehner |
2- 3+ 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426ba |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
24820072704 = 28 · 33 · 73 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-926,7981] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-85:1] |
Generators of the group modulo torsion |
j |
3249025693731/919261952 |
j-invariant |
L |
8.054953597702 |
L(r)(E,1)/r! |
Ω |
1.1125384539039 |
Real period |
R |
0.30167322791205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69426e1 |
Quadratic twists by: -3 |