Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31950o |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-26202993750000 = -1 · 24 · 310 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13167,-628259] |
[a1,a2,a3,a4,a6] |
j |
-22164361129/2300400 |
j-invariant |
L |
1.7723266412253 |
L(r)(E,1)/r! |
Ω |
0.22154083015364 |
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 |
10650v1 6390s1 |
Quadratic twists by: -3 5 |