Atkin-Lehner |
2- 3- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
24780h |
Isogeny class |
Conductor |
24780 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
2697649920 = 28 · 36 · 5 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1636,-25900] |
[a1,a2,a3,a4,a6] |
Generators |
[59:294:1] |
Generators of the group modulo torsion |
j |
1892775382864/10537695 |
j-invariant |
L |
5.690974132924 |
L(r)(E,1)/r! |
Ω |
0.75089151316466 |
Real period |
R |
2.5263188415146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120br2 74340u2 123900f2 |
Quadratic twists by: -4 -3 5 |