Atkin-Lehner |
2+ 3- 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31992g |
Isogeny class |
Conductor |
31992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-51465978288 = -1 · 24 · 34 · 314 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,841,-5298] |
[a1,a2,a3,a4,a6] |
Generators |
[22:156:1] |
Generators of the group modulo torsion |
j |
4106532005888/3216623643 |
j-invariant |
L |
3.6703709832917 |
L(r)(E,1)/r! |
Ω |
0.62585559761317 |
Real period |
R |
2.9322826202157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63984c1 95976s1 |
Quadratic twists by: -4 -3 |