Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200ef |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-417171627565056000 = -1 · 216 · 316 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-94368,-32986368] |
[a1,a2,a3,a4,a6] |
Generators |
[418:654:1] |
Generators of the group modulo torsion |
j |
-181523395171061/814788335088 |
j-invariant |
L |
5.725328501205 |
L(r)(E,1)/r! |
Ω |
0.12360396273278 |
Real period |
R |
5.7899928624743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650dd2 109200hh2 |
Quadratic twists by: -4 5 |