Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
24402be |
Isogeny class |
Conductor |
24402 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-4359894804058952256 = -1 · 26 · 3 · 78 · 835 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 1 4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-245442,110807556] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:12290:1] |
Generators of the group modulo torsion |
j |
-13898957473262737/37058494369344 |
j-invariant |
L |
8.3805115619978 |
L(r)(E,1)/r! |
Ω |
0.21681497810199 |
Real period |
R |
0.64421376199509 |
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 |
73206l1 3486g1 |
Quadratic twists by: -3 -7 |