Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
56100o |
Isogeny class |
Conductor |
56100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-7668168750000 = -1 · 24 · 38 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 11- -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2333,-139338] |
[a1,a2,a3,a4,a6] |
Generators |
[167:-2025:1] |
Generators of the group modulo torsion |
j |
-224788480/1226907 |
j-invariant |
L |
2.8400602159038 |
L(r)(E,1)/r! |
Ω |
0.3087232105683 |
Real period |
R |
0.51107632244756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56100z1 |
Quadratic twists by: 5 |