Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240bd |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.3272114626104E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18672363,31043706138] |
[a1,a2,a3,a4,a6] |
Generators |
[2119:31490:1] |
Generators of the group modulo torsion |
j |
8930387765009871243/4126949580800 |
j-invariant |
L |
3.4732831292731 |
L(r)(E,1)/r! |
Ω |
0.16861667141667 |
Real period |
R |
2.5748366843581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6030n2 48240bi2 |
Quadratic twists by: -4 -3 |