Atkin-Lehner |
2+ 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
49632c |
Isogeny class |
Conductor |
49632 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
289717805887488 = 212 · 37 · 114 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25765937,-50349031617] |
[a1,a2,a3,a4,a6] |
Generators |
[843945:-36119688:125] |
Generators of the group modulo torsion |
j |
461850696306614598891328/70731886203 |
j-invariant |
L |
9.1737884106017 |
L(r)(E,1)/r! |
Ω |
0.067009760872047 |
Real period |
R |
9.7787336088013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49632g4 99264n1 |
Quadratic twists by: -4 8 |