Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650dd |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-31303125000000 = -1 · 26 · 33 · 511 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 -7 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26088,-1646208] |
[a1,a2,a3,a4,a6] |
Generators |
[222:1764:1] |
Generators of the group modulo torsion |
j |
-125668688854969/2003400000 |
j-invariant |
L |
11.122656878044 |
L(r)(E,1)/r! |
Ω |
0.18764975259141 |
Real period |
R |
0.82324300135726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11130a1 |
Quadratic twists by: 5 |