Atkin-Lehner |
2- 3+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
51792f |
Isogeny class |
Conductor |
51792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-108615696384 = -1 · 225 · 3 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 -3 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,584,14704] |
[a1,a2,a3,a4,a6] |
Generators |
[60:512:1] [42:334:1] |
Generators of the group modulo torsion |
j |
5368567751/26517504 |
j-invariant |
L |
7.8636925138976 |
L(r)(E,1)/r! |
Ω |
0.75948730517239 |
Real period |
R |
2.5884871479559 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6474g1 |
Quadratic twists by: -4 |