Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680cf |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1348401600000000 = 212 · 33 · 58 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42705,2886975] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-1500:1] |
Generators of the group modulo torsion |
j |
2102858800664896/329199609375 |
j-invariant |
L |
7.5817120316498 |
L(r)(E,1)/r! |
Ω |
0.46106803017643 |
Real period |
R |
0.34257923702177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680br3 87360dw1 |
Quadratic twists by: -4 8 |