Atkin-Lehner |
3- 11+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31977p |
Isogeny class |
Conductor |
31977 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-4.8218410193073E+21 |
Discriminant |
Eigenvalues |
-1 3- 3 -3 11+ 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-456656,-3342904972] |
[a1,a2,a3,a4,a6] |
Generators |
[102228:17623:64] |
Generators of the group modulo torsion |
j |
-14446505153998508473/6614322385881131361 |
j-invariant |
L |
3.761583995138 |
L(r)(E,1)/r! |
Ω |
0.061497433902638 |
Real period |
R |
7.645814947932 |
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 |
10659k1 |
Quadratic twists by: -3 |