Atkin-Lehner |
2+ 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
88800k |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-2.2912357655851E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -2 -1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7061667,-934137963] |
[a1,a2,a3,a4,a6] |
Generators |
[29267:5027300:1] |
Generators of the group modulo torsion |
j |
24340268816960000/14320223534907 |
j-invariant |
L |
6.052808973093 |
L(r)(E,1)/r! |
Ω |
0.070634041477639 |
Real period |
R |
7.1410432957118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999883986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88800cn1 88800by1 |
Quadratic twists by: -4 5 |