Atkin-Lehner |
2+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36800d |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-96468992000000 = -1 · 228 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 -2 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16300,-930000] |
[a1,a2,a3,a4,a6] |
Generators |
[4314875800:57191171100:16974593] |
Generators of the group modulo torsion |
j |
-116930169/23552 |
j-invariant |
L |
6.100798627363 |
L(r)(E,1)/r! |
Ω |
0.20899623067532 |
Real period |
R |
14.59547525726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36800cq1 1150e1 1472d1 |
Quadratic twists by: -4 8 5 |