Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71050bq |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
1705910500000000 = 28 · 59 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 2 -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-85980,9519647] |
[a1,a2,a3,a4,a6] |
Generators |
[129:685:1] |
Generators of the group modulo torsion |
j |
38238692409/928000 |
j-invariant |
L |
9.3231862695074 |
L(r)(E,1)/r! |
Ω |
0.47140692435081 |
Real period |
R |
1.2360852413553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996822 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14210g1 1450e1 |
Quadratic twists by: 5 -7 |