Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10092f |
Isogeny class |
Conductor |
10092 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
-10536048 = -1 · 24 · 33 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -4 1 5 1 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10,-159] |
[a1,a2,a3,a4,a6] |
Generators |
[10:29:1] |
Generators of the group modulo torsion |
j |
256/27 |
j-invariant |
L |
2.9313133184121 |
L(r)(E,1)/r! |
Ω |
1.0824076932462 |
Real period |
R |
0.45135693582347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40368bs1 30276v1 10092l1 |
Quadratic twists by: -4 -3 29 |