Atkin-Lehner |
2- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90992s |
Isogeny class |
Conductor |
90992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-15006057054208 = -1 · 214 · 117 · 47 |
Discriminant |
Eigenvalues |
2- 2 -2 -5 11- 3 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22304,1303040] |
[a1,a2,a3,a4,a6] |
Generators |
[37:726:1] |
Generators of the group modulo torsion |
j |
-169112377/2068 |
j-invariant |
L |
6.3891513654778 |
L(r)(E,1)/r! |
Ω |
0.70336690963063 |
Real period |
R |
2.2709169511293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021448 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11374l1 8272p1 |
Quadratic twists by: -4 -11 |