Atkin-Lehner |
2- 3- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
40194br |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-299108956608 = -1 · 26 · 38 · 7 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 11- 4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,733,24995] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-206:1] |
Generators of the group modulo torsion |
j |
59822347031/410300352 |
j-invariant |
L |
6.1302052810371 |
L(r)(E,1)/r! |
Ω |
0.70572844386212 |
Real period |
R |
0.72386261958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398i1 |
Quadratic twists by: -3 |