Atkin-Lehner |
5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
87725s |
Isogeny class |
Conductor |
87725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-5342225237421875 = -1 · 57 · 119 · 29 |
Discriminant |
Eigenvalues |
2 3 5+ 4 11- -1 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-402325,98286031] |
[a1,a2,a3,a4,a6] |
Generators |
[17159076:11930383:46656] |
Generators of the group modulo torsion |
j |
-260182831104/192995 |
j-invariant |
L |
26.686325853794 |
L(r)(E,1)/r! |
Ω |
0.42582416267503 |
Real period |
R |
7.833728150078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17545i1 7975d1 |
Quadratic twists by: 5 -11 |