Atkin-Lehner |
2- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
112112bv |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
-8071327196348416 = -1 · 215 · 76 · 115 · 13 |
Discriminant |
Eigenvalues |
2- 2 1 7- 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51760,-6245952] |
[a1,a2,a3,a4,a6] |
Generators |
[8328:71632:27] |
Generators of the group modulo torsion |
j |
-31824875809/16749304 |
j-invariant |
L |
10.879503414142 |
L(r)(E,1)/r! |
Ω |
0.15444294066702 |
Real period |
R |
3.5221756924747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999855768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14014g1 2288j1 |
Quadratic twists by: -4 -7 |