Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5472b |
Isogeny class |
Conductor |
5472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4990464 = 29 · 33 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -6 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51,-90] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:6:1] [-2:2:1] |
Generators of the group modulo torsion |
j |
1061208/361 |
j-invariant |
L |
4.1928469943156 |
L(r)(E,1)/r! |
Ω |
1.8357829455772 |
Real period |
R |
1.141977869556 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5472p2 10944c2 5472q2 103968bf2 |
Quadratic twists by: -4 8 -3 -19 |