Atkin-Lehner |
2- 3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
74160bz |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-98418032640 = -1 · 218 · 36 · 5 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 -6 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1227,22394] |
[a1,a2,a3,a4,a6] |
Generators |
[5:128:1] |
Generators of the group modulo torsion |
j |
-68417929/32960 |
j-invariant |
L |
4.9654802691268 |
L(r)(E,1)/r! |
Ω |
0.99389777936096 |
Real period |
R |
1.2489916902612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9270v1 8240j1 |
Quadratic twists by: -4 -3 |