Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
73080r |
Isogeny class |
Conductor |
73080 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1098240 |
Modular degree for the optimal curve |
Δ |
-1510010097926400000 = -1 · 211 · 319 · 55 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -1 6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,285693,-6388706] |
[a1,a2,a3,a4,a6] |
Generators |
[7538:656100:1] |
Generators of the group modulo torsion |
j |
1727289090422782/1011398653125 |
j-invariant |
L |
7.4570871942178 |
L(r)(E,1)/r! |
Ω |
0.15797095868131 |
Real period |
R |
2.360271551197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000539 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24360x1 |
Quadratic twists by: -3 |