Atkin-Lehner |
3- 5- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
55845j |
Isogeny class |
Conductor |
55845 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1670400 |
Modular degree for the optimal curve |
Δ |
-1729433469337866675 = -1 · 321 · 52 · 17 · 733 |
Discriminant |
Eigenvalues |
2 3- 5- 4 4 -4 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-289947,-87261233] |
[a1,a2,a3,a4,a6] |
Generators |
[38706320398323916164782762:244453761543640960540759127:57885268905817872267176] |
Generators of the group modulo torsion |
j |
-3697873433589551104/2372336720628075 |
j-invariant |
L |
15.978560338484 |
L(r)(E,1)/r! |
Ω |
0.09997953588572 |
Real period |
R |
39.954577196546 |
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 |
18615c1 |
Quadratic twists by: -3 |