Atkin-Lehner |
3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
53655t |
Isogeny class |
Conductor |
53655 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
2220834105 = 35 · 5 · 73 · 732 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-348,-1067] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:42:1] |
Generators of the group modulo torsion |
j |
13532315887/6474735 |
j-invariant |
L |
10.086164245761 |
L(r)(E,1)/r! |
Ω |
1.1593683518101 |
Real period |
R |
1.7399412757787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53655e1 |
Quadratic twists by: -7 |