Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54910bd |
Isogeny class |
Conductor |
54910 |
Conductor |
∏ cp |
340 |
Product of Tamagawa factors cp |
deg |
2545920 |
Modular degree for the optimal curve |
Δ |
-3193419688755200000 = -1 · 217 · 55 · 177 · 19 |
Discriminant |
Eigenvalues |
2- -3 5- -4 3 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-559992,-182639109] |
[a1,a2,a3,a4,a6] |
Generators |
[3821:-233111:1] |
Generators of the group modulo torsion |
j |
-804590545599729/132300800000 |
j-invariant |
L |
5.7007145909847 |
L(r)(E,1)/r! |
Ω |
0.086482137261144 |
Real period |
R |
0.19387596273179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3230c1 |
Quadratic twists by: 17 |