Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786bo |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
854960495049258624 = 27 · 38 · 13 · 238 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-380268311,2854287935151] |
[a1,a2,a3,a4,a6] |
Generators |
[11207:3918:1] |
Generators of the group modulo torsion |
j |
56350733547218620537/7922304 |
j-invariant |
L |
7.3416384384796 |
L(r)(E,1)/r! |
Ω |
0.16102198734996 |
Real period |
R |
0.81417878901895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.999999991927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41262d2 5382k2 |
Quadratic twists by: -3 -23 |