Atkin-Lehner |
2- 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
80300g |
Isogeny class |
Conductor |
80300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
55206250000 = 24 · 58 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 1 5- 0 11+ 0 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2458,44713] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:275:1] [24:11:1] |
Generators of the group modulo torsion |
j |
262885120/8833 |
j-invariant |
L |
12.303345694153 |
L(r)(E,1)/r! |
Ω |
1.1111025353284 |
Real period |
R |
0.61517203273455 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999444 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80300a1 |
Quadratic twists by: 5 |