Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960co |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
126904320000 = 214 · 36 · 54 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127452,17513296] |
[a1,a2,a3,a4,a6] |
Generators |
[197:225:1] |
Generators of the group modulo torsion |
j |
19169739408976/10625 |
j-invariant |
L |
6.6594501817623 |
L(r)(E,1)/r! |
Ω |
0.85710798656507 |
Real period |
R |
0.9712093292439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960fg1 6120d1 5440d1 |
Quadratic twists by: -4 8 -3 |