Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400q |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
9936000000 = 210 · 33 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20733,-1142163] |
[a1,a2,a3,a4,a6] |
Generators |
[830998:12351625:2744] |
Generators of the group modulo torsion |
j |
61604313088/621 |
j-invariant |
L |
7.657718703294 |
L(r)(E,1)/r! |
Ω |
0.39786206725906 |
Real period |
R |
9.6235847971874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400it1 13800l1 4416n1 |
Quadratic twists by: -4 8 5 |