Atkin-Lehner |
3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55575q |
Isogeny class |
Conductor |
55575 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-41147208984375 = -1 · 38 · 59 · 132 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 0 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8208,-117509] |
[a1,a2,a3,a4,a6] |
Generators |
[3134:173933:1] |
Generators of the group modulo torsion |
j |
5368567751/3612375 |
j-invariant |
L |
8.3878135758699 |
L(r)(E,1)/r! |
Ω |
0.36587738506859 |
Real period |
R |
2.8656504603672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18525e1 11115g1 |
Quadratic twists by: -3 5 |