Atkin-Lehner |
2- 3- 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81252a |
Isogeny class |
Conductor |
81252 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-102354119424 = -1 · 28 · 311 · 37 · 61 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 5 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-408,15716] |
[a1,a2,a3,a4,a6] |
Generators |
[28:162:1] |
Generators of the group modulo torsion |
j |
-40247296/548451 |
j-invariant |
L |
4.8265493896704 |
L(r)(E,1)/r! |
Ω |
0.89973930619577 |
Real period |
R |
0.44703220861673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27084a1 |
Quadratic twists by: -3 |