Atkin-Lehner |
2+ 5- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
24920b |
Isogeny class |
Conductor |
24920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-4868690176000 = -1 · 211 · 53 · 74 · 892 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3880,-52468] |
[a1,a2,a3,a4,a6] |
j |
3153385020238/2377290125 |
j-invariant |
L |
5.1632542962559 |
L(r)(E,1)/r! |
Ω |
0.43027119135466 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49840h2 124600r2 |
Quadratic twists by: -4 5 |