Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
17400bm |
Isogeny class |
Conductor |
17400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-424804687500000000 = -1 · 28 · 3 · 519 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -5 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-159633,39771363] |
[a1,a2,a3,a4,a6] |
j |
-112469423174656/106201171875 |
j-invariant |
L |
1.0883886654143 |
L(r)(E,1)/r! |
Ω |
0.27209716635357 |
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 |
34800j1 52200k1 3480b1 |
Quadratic twists by: -4 -3 5 |