Atkin-Lehner |
2- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
94400ca |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-77332480000000000 = -1 · 227 · 510 · 59 |
Discriminant |
Eigenvalues |
2- 2 5+ -3 -5 1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-560033,-161680063] |
[a1,a2,a3,a4,a6] |
Generators |
[907:8700:1] [79261:22313472:1] |
Generators of the group modulo torsion |
j |
-4742478770401/18880000 |
j-invariant |
L |
13.750787631307 |
L(r)(E,1)/r! |
Ω |
0.087239388657151 |
Real period |
R |
19.702665051245 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400x1 23600z1 18880j1 |
Quadratic twists by: -4 8 5 |