Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13600l |
Isogeny class |
Conductor |
13600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19840 |
Modular degree for the optimal curve |
Δ |
-17000000000 = -1 · 29 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ 3 5- -4 -6 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,125,-6250] |
[a1,a2,a3,a4,a6] |
Generators |
[975:5750:27] |
Generators of the group modulo torsion |
j |
216/17 |
j-invariant |
L |
6.9940352622138 |
L(r)(E,1)/r! |
Ω |
0.58689136971052 |
Real period |
R |
2.9792716434319 |
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 |
13600x1 27200bp1 122400eg1 13600w1 |
Quadratic twists by: -4 8 -3 5 |