Atkin-Lehner |
2- 3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35088s |
Isogeny class |
Conductor |
35088 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-111320469504 = -1 · 212 · 37 · 172 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -5 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,936,11988] |
[a1,a2,a3,a4,a6] |
Generators |
[36:306:1] |
Generators of the group modulo torsion |
j |
22117051943/27177849 |
j-invariant |
L |
8.47191946243 |
L(r)(E,1)/r! |
Ω |
0.70639595332775 |
Real period |
R |
0.42832713127003 |
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 |
2193a1 105264bt1 |
Quadratic twists by: -4 -3 |