Atkin-Lehner |
2- 3- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51282br |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-2891871569664 = -1 · 28 · 37 · 73 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,346,-81867] |
[a1,a2,a3,a4,a6] |
Generators |
[77:591:1] |
Generators of the group modulo torsion |
j |
6300872423/3966902016 |
j-invariant |
L |
11.14922023204 |
L(r)(E,1)/r! |
Ω |
0.37554861986792 |
Real period |
R |
1.2369925448376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094f1 |
Quadratic twists by: -3 |