Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74480cz |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-9.5839816625E+18 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -2 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,530033,-11187974] |
[a1,a2,a3,a4,a6] |
Generators |
[1442:61250:1] |
Generators of the group modulo torsion |
j |
546769443677616/318212890625 |
j-invariant |
L |
4.4553235129192 |
L(r)(E,1)/r! |
Ω |
0.13601319659253 |
Real period |
R |
1.4889342376711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18620m1 10640q1 |
Quadratic twists by: -4 -7 |