Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
84216u |
Isogeny class |
Conductor |
84216 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112000 |
Modular degree for the optimal curve |
Δ |
-315649652736 = -1 · 211 · 3 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11- -4 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,928,25056] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:1089:8] |
Generators of the group modulo torsion |
j |
24334/87 |
j-invariant |
L |
3.8643245044435 |
L(r)(E,1)/r! |
Ω |
0.68632998671042 |
Real period |
R |
2.8152088523819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999895426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
696b1 |
Quadratic twists by: -11 |