Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840bi |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
780446696400 = 24 · 39 · 52 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2322,-6939] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:189:1] |
Generators of the group modulo torsion |
j |
4396419072/2478175 |
j-invariant |
L |
6.9294490183162 |
L(r)(E,1)/r! |
Ω |
0.74062501085526 |
Real period |
R |
0.77968482888845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680f1 42840b1 |
Quadratic twists by: -4 -3 |