Atkin-Lehner |
2- 3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
29412g |
Isogeny class |
Conductor |
29412 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-3420057519753746688 = -1 · 28 · 314 · 19 · 435 |
Discriminant |
Eigenvalues |
2- 3- -2 1 0 4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10345071,12807336134] |
[a1,a2,a3,a4,a6] |
Generators |
[1990:10062:1] |
Generators of the group modulo torsion |
j |
-656079768197791284688/18325925495937 |
j-invariant |
L |
5.3551839888227 |
L(r)(E,1)/r! |
Ω |
0.23303572003407 |
Real period |
R |
2.2980099308552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117648bd1 9804c1 |
Quadratic twists by: -4 -3 |