Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42924g |
Isogeny class |
Conductor |
42924 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-46171114752 = -1 · 28 · 3 · 77 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1388,21972] |
[a1,a2,a3,a4,a6] |
Generators |
[51:294:1] |
Generators of the group modulo torsion |
j |
-9826000/1533 |
j-invariant |
L |
6.978406582458 |
L(r)(E,1)/r! |
Ω |
1.0949189148889 |
Real period |
R |
1.5933615009206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128772j1 6132a1 |
Quadratic twists by: -3 -7 |