Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
5490o |
Isogeny class |
Conductor |
5490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-2009340 = -1 · 22 · 33 · 5 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-122,-491] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1073:1] |
Generators of the group modulo torsion |
j |
-7380705123/74420 |
j-invariant |
L |
5.5310408320763 |
L(r)(E,1)/r! |
Ω |
0.71828531426783 |
Real period |
R |
3.850169787833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43920bd1 5490b1 27450b1 |
Quadratic twists by: -4 -3 5 |