Atkin-Lehner |
2+ 3+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11130c |
Isogeny class |
Conductor |
11130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
24279872400 = 24 · 32 · 52 · 74 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1038,-10908] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:42:1] |
Generators of the group modulo torsion |
j |
123870916707049/24279872400 |
j-invariant |
L |
2.2023455868554 |
L(r)(E,1)/r! |
Ω |
0.85249133650854 |
Real period |
R |
1.2917114183678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89040ch2 33390bs2 55650dh2 77910bf2 |
Quadratic twists by: -4 -3 5 -7 |