Atkin-Lehner |
3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075u |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1497600 |
Modular degree for the optimal curve |
Δ |
-2.7414995917057E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 2 -2 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,323837,-241586794] |
[a1,a2,a3,a4,a6] |
Generators |
[8770737988:783239735626:1092727] |
Generators of the group modulo torsion |
j |
6771000575/49424013 |
j-invariant |
L |
3.8389440116095 |
L(r)(E,1)/r! |
Ω |
0.10485040561999 |
Real period |
R |
18.306767574763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72075bc1 2325l1 |
Quadratic twists by: 5 -31 |