Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600bc |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-843503155200 = -1 · 211 · 312 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2595,-67390] |
[a1,a2,a3,a4,a6] |
Generators |
[61:36:1] [109:-972:1] |
Generators of the group modulo torsion |
j |
-51777170/22599 |
j-invariant |
L |
10.290615186869 |
L(r)(E,1)/r! |
Ω |
0.3275063300846 |
Real period |
R |
1.9638199027862 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999979902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55800v1 37200b1 111600by1 |
Quadratic twists by: -4 -3 5 |