Atkin-Lehner |
2- 3- 7- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29946q |
Isogeny class |
Conductor |
29946 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-2095740864 = -1 · 26 · 38 · 7 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-112,2240] |
[a1,a2,a3,a4,a6] |
Generators |
[2:44:1] |
Generators of the group modulo torsion |
j |
-155460517633/2095740864 |
j-invariant |
L |
11.79846868853 |
L(r)(E,1)/r! |
Ω |
1.2443495253361 |
Real period |
R |
0.79013629532959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89838m1 |
Quadratic twists by: -3 |