Atkin-Lehner |
2- 3+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24282h |
Isogeny class |
Conductor |
24282 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
3823853211648 = 212 · 33 · 193 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 0 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4973,-95531] |
[a1,a2,a3,a4,a6] |
j |
503655349106547/141624193024 |
j-invariant |
L |
6.9676510159871 |
L(r)(E,1)/r! |
Ω |
0.58063758466559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24282b1 |
Quadratic twists by: -3 |