Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520bt |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
6594560000 = 216 · 54 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -2 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-481,1281] |
[a1,a2,a3,a4,a6] |
Generators |
[471:10200:1] |
Generators of the group modulo torsion |
j |
188183524/100625 |
j-invariant |
L |
9.037993749107 |
L(r)(E,1)/r! |
Ω |
1.1676194672881 |
Real period |
R |
3.8702651002177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520j1 12880i1 |
Quadratic twists by: -4 8 |