Atkin-Lehner |
2+ 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11130s |
Isogeny class |
Conductor |
11130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
24018199511040 = 222 · 32 · 5 · 74 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -4 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11208,390166] |
[a1,a2,a3,a4,a6] |
j |
155687009506834681/24018199511040 |
j-invariant |
L |
2.5812903220009 |
L(r)(E,1)/r! |
Ω |
0.64532258050022 |
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 |
89040bm1 33390bn1 55650cd1 77910e1 |
Quadratic twists by: -4 -3 5 -7 |