Atkin-Lehner |
3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49725m |
Isogeny class |
Conductor |
49725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-125174141015625 = -1 · 38 · 58 · 132 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5620,511872] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-825:1] |
Generators of the group modulo torsion |
j |
1723683599/10989225 |
j-invariant |
L |
4.1107627358765 |
L(r)(E,1)/r! |
Ω |
0.42574901324091 |
Real period |
R |
1.2069208054571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16575c2 9945e2 |
Quadratic twists by: -3 5 |