Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736dd |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-71221248 = -1 · 214 · 33 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -3 4 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96,-544] |
[a1,a2,a3,a4,a6] |
Generators |
[98:87:8] |
Generators of the group modulo torsion |
j |
-221184/161 |
j-invariant |
L |
5.5487000692247 |
L(r)(E,1)/r! |
Ω |
0.73905238560656 |
Real period |
R |
3.7539287971246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736o1 23184ba1 92736cw1 |
Quadratic twists by: -4 8 -3 |