Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71050bt |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18288 |
Modular degree for the optimal curve |
Δ |
71050 = 2 · 52 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 4 0 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-568,-5258] |
[a1,a2,a3,a4,a6] |
Generators |
[-969341652:488786125:69934528] |
Generators of the group modulo torsion |
j |
16545519865/58 |
j-invariant |
L |
12.010666465989 |
L(r)(E,1)/r! |
Ω |
0.97793182541522 |
Real period |
R |
12.281701191213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050be1 71050bj1 |
Quadratic twists by: 5 -7 |