Atkin-Lehner |
2- 3- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
99264by |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-4748010239808 = -1 · 26 · 34 · 117 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 5 11+ -1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1584,107082] |
[a1,a2,a3,a4,a6] |
Generators |
[9:306:1] |
Generators of the group modulo torsion |
j |
-6872004209728/74187659997 |
j-invariant |
L |
8.4084344956422 |
L(r)(E,1)/r! |
Ω |
0.65669914749857 |
Real period |
R |
3.2010222920488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99264br1 49632i1 |
Quadratic twists by: -4 8 |