Atkin-Lehner |
2+ 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880ba |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
15947442000 = 24 · 34 · 53 · 74 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1855,-30772] |
[a1,a2,a3,a4,a6] |
Generators |
[56:210:1] |
Generators of the group modulo torsion |
j |
44143785342976/996715125 |
j-invariant |
L |
9.084484223013 |
L(r)(E,1)/r! |
Ω |
0.72843535097962 |
Real period |
R |
1.0392691003584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000474 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440e1 |
Quadratic twists by: -4 |