Atkin-Lehner |
2+ 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150x |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-6.1806754790501E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4565900,3939232500] |
[a1,a2,a3,a4,a6] |
Generators |
[1150:-15100:1] |
Generators of the group modulo torsion |
j |
-673725555909178653889/39556323065920500 |
j-invariant |
L |
3.9600725060818 |
L(r)(E,1)/r! |
Ω |
0.16029586828611 |
Real period |
R |
1.5440481033681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430bg2 |
Quadratic twists by: 5 |