Atkin-Lehner |
2+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
13600d |
Isogeny class |
Conductor |
13600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-680000000000 = -1 · 212 · 510 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 0 5 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,-40463] |
[a1,a2,a3,a4,a6] |
j |
-1600/17 |
j-invariant |
L |
1.5412086837895 |
L(r)(E,1)/r! |
Ω |
0.38530217094737 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13600t1 27200w1 122400de1 13600v1 |
Quadratic twists by: -4 8 -3 5 |