Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11200ct |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-35000000 = -1 · 26 · 57 · 7 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 3 1 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,50,250] |
[a1,a2,a3,a4,a6] |
Generators |
[5:25:1] |
Generators of the group modulo torsion |
j |
13824/35 |
j-invariant |
L |
2.9625768935829 |
L(r)(E,1)/r! |
Ω |
1.4436874436513 |
Real period |
R |
0.5130225566848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11200ce1 5600i1 100800no1 2240r1 |
Quadratic twists by: -4 8 -3 5 |