Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890gb |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-60833756025000 = -1 · 23 · 310 · 55 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-95297,-11305479] |
[a1,a2,a3,a4,a6] |
Generators |
[461:6294:1] |
Generators of the group modulo torsion |
j |
-2679375108427801/1703025000 |
j-invariant |
L |
10.468256361934 |
L(r)(E,1)/r! |
Ω |
0.13585747918495 |
Real period |
R |
1.2842203477168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630l1 127890el1 |
Quadratic twists by: -3 -7 |