Atkin-Lehner |
2- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128800be |
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 |
[13805:1621270:1] |
Generators of the group modulo torsion |
j |
71334995501631168/25921 |
j-invariant |
L |
5.4868345054534 |
L(r)(E,1)/r! |
Ω |
0.23415879720114 |
Real period |
R |
5.8580272577676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007081 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128800bj1 128800t1 |
Quadratic twists by: -4 5 |