Atkin-Lehner |
2- 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54390cz |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
4545799239744000 = 29 · 32 · 53 · 78 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-819541220,-9030412751088] |
[a1,a2,a3,a4,a6] |
Generators |
[1068168:121615076:27] |
Generators of the group modulo torsion |
j |
517425559361898728438440369/38638656000 |
j-invariant |
L |
13.062321667418 |
L(r)(E,1)/r! |
Ω |
0.028216741154408 |
Real period |
R |
8.5727421309321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7770m2 |
Quadratic twists by: -7 |