Atkin-Lehner |
2+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
105800l |
Isogeny class |
Conductor |
105800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-4477456000000 = -1 · 210 · 56 · 234 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 2 5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4408,-153312] |
[a1,a2,a3,a4,a6] |
Generators |
[84:276:1] [107:782:1] |
Generators of the group modulo torsion |
j |
-2116 |
j-invariant |
L |
8.4980687853864 |
L(r)(E,1)/r! |
Ω |
0.28646784792602 |
Real period |
R |
4.9441667115938 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4232j1 105800j1 |
Quadratic twists by: 5 -23 |