Atkin-Lehner |
3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
3519d |
Isogeny class |
Conductor |
3519 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
-623380293 = -1 · 313 · 17 · 23 |
Discriminant |
Eigenvalues |
1 3- 0 -2 3 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,153,918] |
[a1,a2,a3,a4,a6] |
Generators |
[6:42:1] |
Generators of the group modulo torsion |
j |
541343375/855117 |
j-invariant |
L |
4.0691137592015 |
L(r)(E,1)/r! |
Ω |
1.1068160103055 |
Real period |
R |
1.8382069473672 |
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 |
56304x1 1173e1 87975z1 59823e1 |
Quadratic twists by: -4 -3 5 17 |