Atkin-Lehner |
3- 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
24675x |
Isogeny class |
Conductor |
24675 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
99792 |
Modular degree for the optimal curve |
Δ |
-1784866741875 = -1 · 311 · 54 · 73 · 47 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 4 5 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12208,-527231] |
[a1,a2,a3,a4,a6] |
j |
-321968089600000/2855786787 |
j-invariant |
L |
7.4901336176696 |
L(r)(E,1)/r! |
Ω |
0.22697374598999 |
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 |
74025bi1 24675j1 |
Quadratic twists by: -3 5 |