Atkin-Lehner |
2- 5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
56650x |
Isogeny class |
Conductor |
56650 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-564823160000000 = -1 · 29 · 57 · 113 · 1032 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 11- -6 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,19245,-506253] |
[a1,a2,a3,a4,a6] |
Generators |
[2339:112130:1] [39:530:1] |
Generators of the group modulo torsion |
j |
50452023393351/36148682240 |
j-invariant |
L |
8.4667135781854 |
L(r)(E,1)/r! |
Ω |
0.29141504232617 |
Real period |
R |
0.13450832096475 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330c1 |
Quadratic twists by: 5 |