Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032cf |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6.6428598914286E+29 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 6 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1888852539,-50359372967050] |
[a1,a2,a3,a4,a6] |
j |
-4242991426585187031506/3781894171664380023 |
j-invariant |
L |
4.3279762666516 |
L(r)(E,1)/r! |
Ω |
0.011040755792048 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344d2 9576x2 |
Quadratic twists by: -3 -7 |