Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10350b |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
377785350000000 = 27 · 33 · 58 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47067,-3805659] |
[a1,a2,a3,a4,a6] |
Generators |
[-141:183:1] |
Generators of the group modulo torsion |
j |
27333463470867/895491200 |
j-invariant |
L |
3.3764932523025 |
L(r)(E,1)/r! |
Ω |
0.32478200902945 |
Real period |
R |
2.599045789507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800cq2 10350be2 2070l2 |
Quadratic twists by: -4 -3 5 |