Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235r |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
455292454450640625 = 36 · 56 · 72 · 138 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-448980,111263075] |
[a1,a2,a3,a4,a6] |
Generators |
[-578:13609:1] |
Generators of the group modulo torsion |
j |
2844576388809/129390625 |
j-invariant |
L |
6.8571584195418 |
L(r)(E,1)/r! |
Ω |
0.29328081526981 |
Real period |
R |
5.8452156282758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999982 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5915k2 4095j2 |
Quadratic twists by: -3 13 |