Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600dv |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4.007165007168E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4498125,-8903668750] |
[a1,a2,a3,a4,a6] |
Generators |
[4292471381:-7708540856094:1331] |
Generators of the group modulo torsion |
j |
345168179975/1374199248 |
j-invariant |
L |
8.2498060324094 |
L(r)(E,1)/r! |
Ω |
0.058208047551597 |
Real period |
R |
17.716205875778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950x2 37200bj2 111600fz1 |
Quadratic twists by: -4 -3 5 |