Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
81900d |
Isogeny class |
Conductor |
81900 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-2738940750000 = -1 · 24 · 33 · 56 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3000,-48375] |
[a1,a2,a3,a4,a6] |
Generators |
[64:-637:1] |
Generators of the group modulo torsion |
j |
442368000/405769 |
j-invariant |
L |
4.8495348062459 |
L(r)(E,1)/r! |
Ω |
0.4424410290822 |
Real period |
R |
0.91340511828424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000442 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81900c1 3276d1 |
Quadratic twists by: -3 5 |