Atkin-Lehner |
2- 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56100m |
Isogeny class |
Conductor |
56100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-11454918750000 = -1 · 24 · 34 · 58 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11- -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1667,160162] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:396:1] [42:550:1] |
Generators of the group modulo torsion |
j |
81920000/1832787 |
j-invariant |
L |
8.3453025224961 |
L(r)(E,1)/r! |
Ω |
0.53667722946 |
Real period |
R |
0.86388594944313 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56100ba1 |
Quadratic twists by: 5 |