Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800em |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
174680064000 = 214 · 38 · 53 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2235,-35350] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:72:1] [-25:70:1] |
Generators of the group modulo torsion |
j |
3307949/468 |
j-invariant |
L |
9.1386024257394 |
L(r)(E,1)/r! |
Ω |
0.70089017586989 |
Real period |
R |
3.2596413605019 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5850bu1 15600bo1 46800fe1 |
Quadratic twists by: -4 -3 5 |