Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400h |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
747225000000 = 26 · 36 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-249158,-47786688] |
[a1,a2,a3,a4,a6] |
j |
1710605891820736/747225 |
j-invariant |
L |
0.85475322369315 |
L(r)(E,1)/r! |
Ω |
0.21368828412413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98400ba1 19680y1 |
Quadratic twists by: -4 5 |