Atkin-Lehner |
2+ 3- 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
46314j |
Isogeny class |
Conductor |
46314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5957073519145272 = -1 · 23 · 320 · 31 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22131,3929229] |
[a1,a2,a3,a4,a6] |
Generators |
[-1426:12543:8] |
Generators of the group modulo torsion |
j |
-1644410861541937/8171568613368 |
j-invariant |
L |
5.2593306158699 |
L(r)(E,1)/r! |
Ω |
0.36915818645966 |
Real period |
R |
7.1234105171826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15438m2 |
Quadratic twists by: -3 |