Atkin-Lehner |
3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
103335i |
Isogeny class |
Conductor |
103335 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
17029083251953125 = 34 · 515 · 832 |
Discriminant |
Eigenvalues |
0 3- 5- -4 3 4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-157755,23232881] |
[a1,a2,a3,a4,a6] |
Generators |
[-445:2347:1] [165:-1313:1] |
Generators of the group modulo torsion |
j |
63025990442450944/2471923828125 |
j-invariant |
L |
11.53556719752 |
L(r)(E,1)/r! |
Ω |
0.38663100157491 |
Real period |
R |
0.49726859086064 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103335h2 |
Quadratic twists by: -83 |