Atkin-Lehner |
2+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
24794w |
Isogeny class |
Conductor |
24794 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
761856 |
Modular degree for the optimal curve |
Δ |
-21066182083674112 = -1 · 216 · 73 · 116 · 232 |
Discriminant |
Eigenvalues |
2+ 2 4 7- 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-794973,272578685] |
[a1,a2,a3,a4,a6] |
j |
-161989767478836246223/61417440477184 |
j-invariant |
L |
4.5148443155304 |
L(r)(E,1)/r! |
Ω |
0.37623702629422 |
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 |
24794x1 |
Quadratic twists by: -7 |