Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40368bi |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
992083968 = 217 · 32 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 4 0 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3992,-98412] |
[a1,a2,a3,a4,a6] |
Generators |
[-294:27:8] |
Generators of the group modulo torsion |
j |
2042904913/288 |
j-invariant |
L |
8.4663125942556 |
L(r)(E,1)/r! |
Ω |
0.60061549171809 |
Real period |
R |
3.5240152439449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5046b1 121104cc1 40368z1 |
Quadratic twists by: -4 -3 29 |