Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400a |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1721250000 = 24 · 34 · 57 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57383,-5271738] |
[a1,a2,a3,a4,a6] |
Generators |
[-18848543710:-54700316:136590875] |
Generators of the group modulo torsion |
j |
83587439220736/6885 |
j-invariant |
L |
4.3486386001747 |
L(r)(E,1)/r! |
Ω |
0.30846302534316 |
Real period |
R |
14.097762917734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10200bg1 81600ht1 61200bq1 4080o1 |
Quadratic twists by: -4 8 -3 5 |