Atkin-Lehner |
3+ 7- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86583l |
Isogeny class |
Conductor |
86583 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.181898911997E+22 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7096867,5056185098] |
[a1,a2,a3,a4,a6] |
Generators |
[75153:2201465:27] |
Generators of the group modulo torsion |
j |
335997058130808219937/100459749933867807 |
j-invariant |
L |
3.2524500675768 |
L(r)(E,1)/r! |
Ω |
0.11795571682775 |
Real period |
R |
6.8933709998435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12369e3 |
Quadratic twists by: -7 |