Atkin-Lehner |
3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
3519f |
Isogeny class |
Conductor |
3519 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
69264477 = 311 · 17 · 23 |
Discriminant |
Eigenvalues |
2 3- 0 1 0 -5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-165,-711] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:77:8] |
Generators of the group modulo torsion |
j |
681472000/95013 |
j-invariant |
L |
6.4812988197448 |
L(r)(E,1)/r! |
Ω |
1.3444136045615 |
Real period |
R |
1.2052278401815 |
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 |
56304v1 1173f1 87975bd1 59823j1 |
Quadratic twists by: -4 -3 5 17 |