Atkin-Lehner |
2- 3+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
71994bg |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
165099211849728 = 221 · 38 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 6 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3431438,2445166667] |
[a1,a2,a3,a4,a6] |
Generators |
[1137:3319:1] |
Generators of the group modulo torsion |
j |
26440245574746975765625/976918413312 |
j-invariant |
L |
9.420072370832 |
L(r)(E,1)/r! |
Ω |
0.42408300196338 |
Real period |
R |
0.52887627265467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71994a1 |
Quadratic twists by: 13 |