Atkin-Lehner |
3- 11+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31977l |
Isogeny class |
Conductor |
31977 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-36992572336467 = -1 · 38 · 11 · 175 · 192 |
Discriminant |
Eigenvalues |
0 3- 0 -3 11+ 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-100560,-12277485] |
[a1,a2,a3,a4,a6] |
Generators |
[5458:123071:8] |
Generators of the group modulo torsion |
j |
-154266624851968000/50744269323 |
j-invariant |
L |
3.7805388964905 |
L(r)(E,1)/r! |
Ω |
0.1340462513375 |
Real period |
R |
7.0508105574916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10659n1 |
Quadratic twists by: -3 |