Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912n |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-4542326241264 = -1 · 24 · 34 · 76 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 2 -4 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6876,244539] |
[a1,a2,a3,a4,a6] |
Generators |
[27:279:1] |
Generators of the group modulo torsion |
j |
-19102326016/2413071 |
j-invariant |
L |
3.8417253088484 |
L(r)(E,1)/r! |
Ω |
0.75099811350335 |
Real period |
R |
0.85258210375957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36456x1 1488d1 |
Quadratic twists by: -4 -7 |