Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920bj |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9.9871977599979E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-815233107,-10167908699086] |
[a1,a2,a3,a4,a6] |
Generators |
[3315598495226323464691949206723493499871595:-247767741199838685409548574530167071693155702:92006783405525603801130309032989915061] |
Generators of the group modulo torsion |
j |
-40133926989810174413190818/6689384645060302103835 |
j-invariant |
L |
7.5442022015047 |
L(r)(E,1)/r! |
Ω |
0.013999187027704 |
Real period |
R |
67.362859692206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038556 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57960bc3 38640d3 |
Quadratic twists by: -4 -3 |