Atkin-Lehner |
2+ 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
24402b |
Isogeny class |
Conductor |
24402 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-3614938048512 = -1 · 211 · 32 · 73 · 833 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 5 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-473,91365] |
[a1,a2,a3,a4,a6] |
j |
-34233150223/10539177984 |
j-invariant |
L |
2.5665571534074 |
L(r)(E,1)/r! |
Ω |
0.64163928835186 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73206bs1 24402m1 |
Quadratic twists by: -3 -7 |