Atkin-Lehner |
2+ 3+ 5+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
36210c |
Isogeny class |
Conductor |
36210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
88949865000 = 23 · 3 · 54 · 174 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9238,-345332] |
[a1,a2,a3,a4,a6] |
Generators |
[249:3463:1] |
Generators of the group modulo torsion |
j |
87202922421247849/88949865000 |
j-invariant |
L |
4.0036412760948 |
L(r)(E,1)/r! |
Ω |
0.48699616463176 |
Real period |
R |
4.1105470297926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108630u4 |
Quadratic twists by: -3 |