Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710h |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
2131992576000 = 216 · 37 · 53 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9135,330925] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1319:1] |
Generators of the group modulo torsion |
j |
115650783909361/2924544000 |
j-invariant |
L |
3.1674839384462 |
L(r)(E,1)/r! |
Ω |
0.82247639929238 |
Real period |
R |
3.8511548065954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680du1 3570u1 53550dr1 74970bw1 |
Quadratic twists by: -4 -3 5 -7 |