Atkin-Lehner |
3+ 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
85701m |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15744 |
Modular degree for the optimal curve |
Δ |
-599907 = -1 · 3 · 73 · 11 · 53 |
Discriminant |
Eigenvalues |
1 3+ 4 7- 11- 1 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,17,-20] |
[a1,a2,a3,a4,a6] |
Generators |
[120:290:27] |
Generators of the group modulo torsion |
j |
1442897/1749 |
j-invariant |
L |
10.102016635218 |
L(r)(E,1)/r! |
Ω |
1.5543595417554 |
Real period |
R |
3.2495752641047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85701z1 |
Quadratic twists by: -7 |