Atkin-Lehner |
2+ 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490s |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
352661760 = 28 · 32 · 5 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-179,-178] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:22:1] [24:85:1] |
Generators of the group modulo torsion |
j |
472729139/264960 |
j-invariant |
L |
8.8648985048741 |
L(r)(E,1)/r! |
Ω |
1.4038931386938 |
Real period |
R |
3.1572554422485 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83490cb1 |
Quadratic twists by: -11 |