Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400co |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
13907220480000 = 214 · 310 · 54 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 5 -1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14833,-666863] |
[a1,a2,a3,a4,a6] |
Generators |
[307:4860:1] |
Generators of the group modulo torsion |
j |
35248450000/1358127 |
j-invariant |
L |
7.380249176281 |
L(r)(E,1)/r! |
Ω |
0.4336299762402 |
Real period |
R |
1.4183077627722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400jd1 6900i1 110400dg1 |
Quadratic twists by: -4 8 5 |