Atkin-Lehner |
2+ 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
52976g |
Isogeny class |
Conductor |
52976 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-2595824 = -1 · 24 · 73 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 11+ -2 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,199] |
[a1,a2,a3,a4,a6] |
Generators |
[3:7:1] |
Generators of the group modulo torsion |
j |
-1235663104/162239 |
j-invariant |
L |
3.8798767547449 |
L(r)(E,1)/r! |
Ω |
2.4858449262966 |
Real period |
R |
0.52026264305058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26488a1 |
Quadratic twists by: -4 |