Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650cx |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
600 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-12168954000000000 = -1 · 210 · 35 · 59 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2063088,1140417792] |
[a1,a2,a3,a4,a6] |
Generators |
[72:31464:1] |
Generators of the group modulo torsion |
j |
-62152264723374149689/778813056000 |
j-invariant |
L |
12.944496495304 |
L(r)(E,1)/r! |
Ω |
0.36479103903286 |
Real period |
R |
0.059141147983379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330a1 |
Quadratic twists by: 5 |