Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400bk |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
195349708800 = 222 · 34 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 3 -3 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4513,116257] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:36:1] [-7:384:1] |
Generators of the group modulo torsion |
j |
1551443665/29808 |
j-invariant |
L |
9.9296921108532 |
L(r)(E,1)/r! |
Ω |
1.0065831136926 |
Real period |
R |
1.2330939164751 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999483 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400ia1 3450k1 110400ew1 |
Quadratic twists by: -4 8 5 |