Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5712f |
Isogeny class |
Conductor |
5712 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-10917334358784 = -1 · 28 · 311 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 3 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,679,-159051] |
[a1,a2,a3,a4,a6] |
Generators |
[52:119:1] |
Generators of the group modulo torsion |
j |
135037162496/42645837339 |
j-invariant |
L |
3.3635035617282 |
L(r)(E,1)/r! |
Ω |
0.33780380721147 |
Real period |
R |
1.6594955858617 |
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 |
2856b1 22848cu1 17136h1 39984m1 |
Quadratic twists by: -4 8 -3 -7 |