Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13600o |
Isogeny class |
Conductor |
13600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-1740800 = -1 · 212 · 52 · 17 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -4 -7 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-433,3617] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-4:1] [-17:76:1] |
Generators of the group modulo torsion |
j |
-87880000/17 |
j-invariant |
L |
5.5564928304036 |
L(r)(E,1)/r! |
Ω |
2.5743882123836 |
Real period |
R |
0.53959352397539 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13600m1 27200bt1 122400bb1 13600j1 |
Quadratic twists by: -4 8 -3 5 |