Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
81900c |
Isogeny class |
Conductor |
81900 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-1996687806750000 = -1 · 24 · 39 · 56 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27000,1306125] |
[a1,a2,a3,a4,a6] |
Generators |
[20836:427427:64] |
Generators of the group modulo torsion |
j |
442368000/405769 |
j-invariant |
L |
6.8492552591332 |
L(r)(E,1)/r! |
Ω |
0.30471222204843 |
Real period |
R |
5.6194457976949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946679 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81900d1 3276c1 |
Quadratic twists by: -3 5 |