Atkin-Lehner |
2+ 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
5530h |
Isogeny class |
Conductor |
5530 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-13548500000 = -1 · 25 · 56 · 73 · 79 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -3 -7 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,542,-2732] |
[a1,a2,a3,a4,a6] |
j |
17655210697319/13548500000 |
j-invariant |
L |
1.4022353113209 |
L(r)(E,1)/r! |
Ω |
0.70111765566046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44240p1 49770bq1 27650t1 38710k1 |
Quadratic twists by: -4 -3 5 -7 |