Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312bu |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2176035904 = -1 · 26 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 2 2 7- 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-212,-2470] |
[a1,a2,a3,a4,a6] |
Generators |
[14059777605:1222026037910:1860867] |
Generators of the group modulo torsion |
j |
-140608/289 |
j-invariant |
L |
10.891715286713 |
L(r)(E,1)/r! |
Ω |
0.58697577253587 |
Real period |
R |
18.555647092064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312bw1 26656c2 1088n1 |
Quadratic twists by: -4 8 -7 |