Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22736bg |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-873426176 = -1 · 28 · 76 · 29 |
Discriminant |
Eigenvalues |
2- -3 -3 7- 1 3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-236719,-44330006] |
[a1,a2,a3,a4,a6] |
Generators |
[686770:569137058:1] |
Generators of the group modulo torsion |
j |
-48707390098512/29 |
j-invariant |
L |
2.4878377122421 |
L(r)(E,1)/r! |
Ω |
0.10822093445646 |
Real period |
R |
11.494253513599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5684h1 90944em1 464f1 |
Quadratic twists by: -4 8 -7 |