Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440c |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-13837936320 = -1 · 26 · 39 · 5 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,432,4482] |
[a1,a2,a3,a4,a6] |
Generators |
[87:837:1] |
Generators of the group modulo torsion |
j |
7077888/10985 |
j-invariant |
L |
5.0575191391698 |
L(r)(E,1)/r! |
Ω |
0.85389360743084 |
Real period |
R |
2.9614457206124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37440cy2 585d2 37440q1 |
Quadratic twists by: -4 8 -3 |