Atkin-Lehner |
2- 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49632g |
Isogeny class |
Conductor |
49632 |
Conductor |
∏ cp |
32 |
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 |
[-25921311:-975138516:4913] |
Generators of the group modulo torsion |
j |
461850696306614598891328/70731886203 |
j-invariant |
L |
5.7605623514925 |
L(r)(E,1)/r! |
Ω |
0.31469413420196 |
Real period |
R |
9.152636998009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999756 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49632c4 99264p1 |
Quadratic twists by: -4 8 |