Atkin-Lehner |
2+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400x |
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] |
j |
-4742478770401/18880000 |
j-invariant |
L |
2.762903059924 |
L(r)(E,1)/r! |
Ω |
0.34536286867814 |
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 |
94400ca1 2950e1 18880d1 |
Quadratic twists by: -4 8 5 |