Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440bx |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
1987470950400000 = 226 · 36 · 55 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-484428,129757552] |
[a1,a2,a3,a4,a6] |
Generators |
[389:423:1] |
Generators of the group modulo torsion |
j |
65787589563409/10400000 |
j-invariant |
L |
3.3272299067869 |
L(r)(E,1)/r! |
Ω |
0.45103346171458 |
Real period |
R |
3.6884512893331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440en1 1170f1 4160i1 |
Quadratic twists by: -4 8 -3 |