Atkin-Lehner |
3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075bd |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.9210037976113E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1440999,-37122977] |
[a1,a2,a3,a4,a6] |
Generators |
[43194509557294379129702010473125796:-3702954804623357112674313819136064987:249717314101395491617324470302528] |
Generators of the group modulo torsion |
j |
23862997439/13852815 |
j-invariant |
L |
11.741822435356 |
L(r)(E,1)/r! |
Ω |
0.10621443554542 |
Real period |
R |
55.274136584066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14415c4 2325b4 |
Quadratic twists by: 5 -31 |