Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032bb |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6.0451502550253E+22 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 0 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46878447,-124105155230] |
[a1,a2,a3,a4,a6] |
Generators |
[269766157192833:98581722695350748:2014698447] |
Generators of the group modulo torsion |
j |
-518904725785387216/2753286252003 |
j-invariant |
L |
4.2942355410623 |
L(r)(E,1)/r! |
Ω |
0.028839548450494 |
Real period |
R |
18.612616060542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993353 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344bg2 9576k2 |
Quadratic twists by: -3 -7 |