Atkin-Lehner |
3- 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31977r |
Isogeny class |
Conductor |
31977 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
42624 |
Modular degree for the optimal curve |
Δ |
-271723502259 = -1 · 37 · 113 · 173 · 19 |
Discriminant |
Eigenvalues |
2 3- 2 3 11- -3 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1389,32031] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:1481:8] |
Generators of the group modulo torsion |
j |
-406539661312/372734571 |
j-invariant |
L |
13.868653552765 |
L(r)(E,1)/r! |
Ω |
0.89396707636635 |
Real period |
R |
2.585601103107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10659g1 |
Quadratic twists by: -3 |