Atkin-Lehner |
2- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8954f |
Isogeny class |
Conductor |
8954 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-403431424 = -1 · 213 · 113 · 37 |
Discriminant |
Eigenvalues |
2- -2 -1 -4 11+ -4 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-96,1024] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:28:1] [-8:40:1] |
Generators of the group modulo torsion |
j |
-73560059/303104 |
j-invariant |
L |
5.5138234324053 |
L(r)(E,1)/r! |
Ω |
1.4683528600913 |
Real period |
R |
0.14442722711927 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71632f1 80586c1 8954b1 |
Quadratic twists by: -4 -3 -11 |