Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200j |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-1176707674483200 = -1 · 29 · 33 · 52 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 0 2 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-210768,37350792] |
[a1,a2,a3,a4,a6] |
j |
-80896517556407240/91930287069 |
j-invariant |
L |
3.3977585838039 |
L(r)(E,1)/r! |
Ω |
0.48539408319222 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55200cg1 110400ec1 55200cr1 |
Quadratic twists by: -4 8 5 |