Atkin-Lehner |
2+ 3- 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31302g |
Isogeny class |
Conductor |
31302 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-20805458583132 = -1 · 22 · 310 · 374 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6714,-59360] |
[a1,a2,a3,a4,a6] |
Generators |
[18:250:1] |
Generators of the group modulo torsion |
j |
45909631702943/28539723708 |
j-invariant |
L |
4.4962184466238 |
L(r)(E,1)/r! |
Ω |
0.39326925359407 |
Real period |
R |
1.4291158047359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10434g4 |
Quadratic twists by: -3 |