Atkin-Lehner |
3- 5- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
128205bg |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-54859157833095 = -1 · 310 · 5 · 73 · 114 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8631,-180320] |
[a1,a2,a3,a4,a6] |
Generators |
[84:1022:1] |
Generators of the group modulo torsion |
j |
97532920647791/75252617055 |
j-invariant |
L |
7.773361045139 |
L(r)(E,1)/r! |
Ω |
0.35067601630807 |
Real period |
R |
3.6944646855967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000122371 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42735c1 |
Quadratic twists by: -3 |