Atkin-Lehner |
2+ 3- 5- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56610m |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7634707650 = 2 · 38 · 52 · 17 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40779,3179803] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:2564:1] [89:455:1] |
Generators of the group modulo torsion |
j |
10287548347701169/10472850 |
j-invariant |
L |
6.7534902051013 |
L(r)(E,1)/r! |
Ω |
1.1071181521714 |
Real period |
R |
1.5250156886723 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870o2 |
Quadratic twists by: -3 |