Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24768bk |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-33385307328 = -1 · 26 · 38 · 433 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 1 5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3522,80930] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:387:1] |
Generators of the group modulo torsion |
j |
-103558145536/715563 |
j-invariant |
L |
4.6363637608603 |
L(r)(E,1)/r! |
Ω |
1.1720351678005 |
Real period |
R |
0.65930384574283 |
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 |
24768w1 12384m1 8256l1 |
Quadratic twists by: -4 8 -3 |