Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40368k |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-645888 = -1 · 28 · 3 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 -2 -2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-193,971] |
[a1,a2,a3,a4,a6] |
j |
-3712000/3 |
j-invariant |
L |
2.8585832008782 |
L(r)(E,1)/r! |
Ω |
2.8585832008572 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20184k1 121104f1 40368g1 |
Quadratic twists by: -4 -3 29 |