Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710i |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-97161120 = -1 · 25 · 36 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,111,125] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:4:1] |
Generators of the group modulo torsion |
j |
206425071/133280 |
j-invariant |
L |
3.3342133115074 |
L(r)(E,1)/r! |
Ω |
1.1835286808471 |
Real period |
R |
1.408589992564 |
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 |
85680fn1 1190e1 53550dz1 74970ba1 |
Quadratic twists by: -4 -3 5 -7 |