Atkin-Lehner |
2+ 3+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440k |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
432900000000 = 28 · 32 · 58 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1940,9600] |
[a1,a2,a3,a4,a6] |
Generators |
[80:-600:1] |
Generators of the group modulo torsion |
j |
3155824042576/1691015625 |
j-invariant |
L |
5.9854302287802 |
L(r)(E,1)/r! |
Ω |
0.82351511067732 |
Real period |
R |
0.90851857067943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097731 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57720z2 |
Quadratic twists by: -4 |