Atkin-Lehner |
2+ 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150bp |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18869760 |
Modular degree for the optimal curve |
Δ |
-7.01824499712E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 4 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-42655126,-114556011352] |
[a1,a2,a3,a4,a6] |
j |
-549309814955296677994321/44916767981568000000 |
j-invariant |
L |
2.9400076044428 |
L(r)(E,1)/r! |
Ω |
0.029400076208163 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430x1 |
Quadratic twists by: 5 |