Atkin-Lehner |
3+ 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
85701k |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-1.7500119630868E+27 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11- -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,27944584,-2011883170149] |
[a1,a2,a3,a4,a6] |
Generators |
[16410684802:2699965146931:571787] |
Generators of the group modulo torsion |
j |
7035946269682673774860001/5102075694130695948683961 |
j-invariant |
L |
5.479288253276 |
L(r)(E,1)/r! |
Ω |
0.022002601877192 |
Real period |
R |
8.893896601243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006866 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85701x2 |
Quadratic twists by: -7 |