Atkin-Lehner |
2+ 3+ 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310a |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10546233750 = 2 · 33 · 54 · 132 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5475,-154489] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:28:1] [686:-85:8] |
Generators of the group modulo torsion |
j |
672290442205227/390601250 |
j-invariant |
L |
6.5057841918515 |
L(r)(E,1)/r! |
Ω |
0.55502807382113 |
Real period |
R |
2.9303851907256 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310bq2 |
Quadratic twists by: -3 |