Atkin-Lehner |
2- 3- 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440dd |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
2304 |
Product of Tamagawa factors cp |
Δ |
3.3276450461398E+34 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-115377991600,-12268496209486252] |
[a1,a2,a3,a4,a6] |
Generators |
[852146:712882560:1] |
Generators of the group modulo torsion |
j |
41469871415552995338723656499044401/8124133413427302989601000000000 |
j-invariant |
L |
9.7409758797923 |
L(r)(E,1)/r! |
Ω |
0.0083034647942363 |
Real period |
R |
2.0366698519465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bd2 |
Quadratic twists by: -4 |