Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200ck |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
766080 |
Modular degree for the optimal curve |
Δ |
-55264149504000000 = -1 · 231 · 33 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-365008,85507988] |
[a1,a2,a3,a4,a6] |
Generators |
[-478:12288:1] |
Generators of the group modulo torsion |
j |
-84033427451401/863502336 |
j-invariant |
L |
5.9332511901133 |
L(r)(E,1)/r! |
Ω |
0.35507787589062 |
Real period |
R |
1.392476503698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9150r1 2928g1 |
Quadratic twists by: -4 5 |