Atkin-Lehner |
2- 5- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
43450x |
Isogeny class |
Conductor |
43450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35200 |
Modular degree for the optimal curve |
Δ |
27156250000 = 24 · 59 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 0 5- 2 11+ 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2430,-44803] |
[a1,a2,a3,a4,a6] |
Generators |
[-12984:8345:512] |
Generators of the group modulo torsion |
j |
812166237/13904 |
j-invariant |
L |
9.8472941248288 |
L(r)(E,1)/r! |
Ω |
0.68071130380339 |
Real period |
R |
7.2330913779421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43450i1 |
Quadratic twists by: 5 |