Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128800bj |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
207368000 = 26 · 53 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172805,27649200] |
[a1,a2,a3,a4,a6] |
Generators |
[6420:1610:27] |
Generators of the group modulo torsion |
j |
71334995501631168/25921 |
j-invariant |
L |
6.1641297161634 |
L(r)(E,1)/r! |
Ω |
1.0674670815234 |
Real period |
R |
1.4436346062871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128800be1 128800p1 |
Quadratic twists by: -4 5 |