Atkin-Lehner |
2+ 3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11130f |
Isogeny class |
Conductor |
11130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
8943386754960 = 24 · 316 · 5 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9018,-300348] |
[a1,a2,a3,a4,a6] |
j |
81120319166611369/8943386754960 |
j-invariant |
L |
0.98683170353386 |
L(r)(E,1)/r! |
Ω |
0.49341585176693 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89040bx1 33390bz1 55650cx1 77910bc1 |
Quadratic twists by: -4 -3 5 -7 |