Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1650j |
Isogeny class |
Conductor |
1650 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
-8660520000 = -1 · 26 · 39 · 54 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11+ -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,324,3898] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:39:1] |
Generators of the group modulo torsion |
j |
6045109175/13856832 |
j-invariant |
L |
2.4421260481824 |
L(r)(E,1)/r! |
Ω |
0.90758827985953 |
Real period |
R |
0.44846437207562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
13200bz1 52800bt1 4950bt1 1650l1 |
Quadratic twists by: -4 8 -3 5 |