Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200n |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-953856000 = -1 · 212 · 34 · 53 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -4 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93,1557] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:20:1] [3:-36:1] |
Generators of the group modulo torsion |
j |
-175616/1863 |
j-invariant |
L |
7.8635715802703 |
L(r)(E,1)/r! |
Ω |
1.335416475129 |
Real period |
R |
0.73605984787557 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55200cs1 110400eq1 55200ct1 |
Quadratic twists by: -4 8 5 |