Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
24864n |
Isogeny class |
Conductor |
24864 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-32223744 = -1 · 29 · 35 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 2 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-504,-4536] |
[a1,a2,a3,a4,a6] |
j |
-27708101576/62937 |
j-invariant |
L |
5.0365255036693 |
L(r)(E,1)/r! |
Ω |
0.50365255036693 |
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 |
24864q1 49728r1 74592bt1 |
Quadratic twists by: -4 8 -3 |