Atkin-Lehner |
2+ 3+ 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
51888f |
Isogeny class |
Conductor |
51888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4124473344 = 211 · 34 · 232 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 -6 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-162424,25249744] |
[a1,a2,a3,a4,a6] |
Generators |
[210:598:1] |
Generators of the group modulo torsion |
j |
231391306636430834/2013903 |
j-invariant |
L |
3.4182687093189 |
L(r)(E,1)/r! |
Ω |
0.96391744944559 |
Real period |
R |
1.7731127864004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25944b2 |
Quadratic twists by: -4 |