Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
128772k |
Isogeny class |
Conductor |
128772 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.2593985177746E+27 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4273055535,107498188316806] |
[a1,a2,a3,a4,a6] |
Generators |
[673972220643538702412655860760:-60837976203580048704264172027301:13316889062375985796097536] |
Generators of the group modulo torsion |
j |
392991891669021800482000/57359775663131823 |
j-invariant |
L |
8.3768141508139 |
L(r)(E,1)/r! |
Ω |
0.046777755555401 |
Real period |
R |
44.769217550246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000108545 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42924h2 18396f2 |
Quadratic twists by: -3 -7 |