Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728cf |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-242682946781184 = -1 · 217 · 33 · 74 · 134 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -1 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48363,-4161766] |
[a1,a2,a3,a4,a6] |
Generators |
[469:-8736:1] |
Generators of the group modulo torsion |
j |
-47113735347/913952 |
j-invariant |
L |
5.6783376306284 |
L(r)(E,1)/r! |
Ω |
0.16078364026328 |
Real period |
R |
0.36788164636738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466bi1 91728ce1 91728ci1 |
Quadratic twists by: -4 -3 -7 |