Atkin-Lehner |
2+ 3- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
116130ba |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
7628544 |
Modular degree for the optimal curve |
Δ |
-1.6761781313565E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -5 -3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2798759,2669573162] |
[a1,a2,a3,a4,a6] |
Generators |
[-1662:53089:1] |
Generators of the group modulo torsion |
j |
-420567470504098729/290760796661760 |
j-invariant |
L |
4.5493008499034 |
L(r)(E,1)/r! |
Ω |
0.13789769198318 |
Real period |
R |
0.4582000800934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000081514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116130y1 |
Quadratic twists by: -7 |