Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13050bd |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1178921233993218750 = -1 · 2 · 37 · 56 · 297 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 2 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1464980,684851397] |
[a1,a2,a3,a4,a6] |
Generators |
[4054:66045:8] |
Generators of the group modulo torsion |
j |
-30526075007211889/103499257854 |
j-invariant |
L |
7.0183426522211 |
L(r)(E,1)/r! |
Ω |
0.27506940502992 |
Real period |
R |
6.3787016330094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104400dr2 4350d2 522d2 |
Quadratic twists by: -4 -3 5 |