Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
106470fo |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
3144960 |
Modular degree for the optimal curve |
Δ |
-4329180824033520000 = -1 · 27 · 36 · 54 · 7 · 139 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -5 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,182488,95457899] |
[a1,a2,a3,a4,a6] |
Generators |
[127:-11049:1] |
Generators of the group modulo torsion |
j |
86938307/560000 |
j-invariant |
L |
9.9107919989691 |
L(r)(E,1)/r! |
Ω |
0.17826115539815 |
Real period |
R |
0.99280422425598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830a1 106470cc1 |
Quadratic twists by: -3 13 |