Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47096j |
Isogeny class |
Conductor |
47096 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
570720 |
Modular degree for the optimal curve |
Δ |
-6031258896591681536 = -1 · 211 · 7 · 2910 |
Discriminant |
Eigenvalues |
2- -1 1 7- -4 -5 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-235760,-126026996] |
[a1,a2,a3,a4,a6] |
Generators |
[526284502596262416672730:-50930786856862155366815369:56030727734770936328] |
Generators of the group modulo torsion |
j |
-1682/7 |
j-invariant |
L |
3.8973833781852 |
L(r)(E,1)/r! |
Ω |
0.0986697352602 |
Real period |
R |
39.499278759667 |
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 |
94192b1 47096f1 |
Quadratic twists by: -4 29 |