Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136i |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-235052181504 = -1 · 211 · 39 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -3 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-23326] |
[a1,a2,a3,a4,a6] |
Generators |
[55:378:1] |
Generators of the group modulo torsion |
j |
-2/157437 |
j-invariant |
L |
4.3705618879963 |
L(r)(E,1)/r! |
Ω |
0.45418004722301 |
Real period |
R |
0.40095716764009 |
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 |
8568b1 68544eg1 5712e1 119952be1 |
Quadratic twists by: -4 8 -3 -7 |