Atkin-Lehner |
2+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52142a |
Isogeny class |
Conductor |
52142 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6914918172273814064 = 24 · 299 · 313 |
Discriminant |
Eigenvalues |
2+ 2 -3 2 0 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-922594,-317138556] |
[a1,a2,a3,a4,a6] |
Generators |
[-167601:1510557:343] |
Generators of the group modulo torsion |
j |
146005204837393/11625163184 |
j-invariant |
L |
5.4868303878542 |
L(r)(E,1)/r! |
Ω |
0.15482278335617 |
Real period |
R |
4.429928099812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1798b2 |
Quadratic twists by: 29 |