Atkin-Lehner |
3+ 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
85701n |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1049237343 = -1 · 32 · 73 · 112 · 532 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11- 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,251,-190] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-87:1] |
Generators of the group modulo torsion |
j |
5097328361/3059001 |
j-invariant |
L |
2.5176095609585 |
L(r)(E,1)/r! |
Ω |
0.90595423807254 |
Real period |
R |
0.69473971609973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001299 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85701bb2 |
Quadratic twists by: -7 |