Atkin-Lehner |
2- 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53424bm |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
74475182702592 = 214 · 36 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -4 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-161787,25044010] |
[a1,a2,a3,a4,a6] |
Generators |
[-337:6426:1] [-211:7056:1] |
Generators of the group modulo torsion |
j |
156843708284089/24941588 |
j-invariant |
L |
7.7747820942534 |
L(r)(E,1)/r! |
Ω |
0.59308396156019 |
Real period |
R |
1.0924229111681 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6678k2 5936r2 |
Quadratic twists by: -4 -3 |