Atkin-Lehner |
3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24675j |
Isogeny class |
Conductor |
24675 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
498960 |
Modular degree for the optimal curve |
Δ |
-27888542841796875 = -1 · 311 · 510 · 73 · 47 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 4 -5 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-305208,-65293432] |
[a1,a2,a3,a4,a6] |
j |
-321968089600000/2855786787 |
j-invariant |
L |
0.30451723508492 |
L(r)(E,1)/r! |
Ω |
0.10150574502828 |
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 |
74025be1 24675x1 |
Quadratic twists by: -3 5 |