Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
43800p |
Isogeny class |
Conductor |
43800 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
7442625005892000000 = 28 · 314 · 56 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3168908,-2168349312] |
[a1,a2,a3,a4,a6] |
Generators |
[-1001:1314:1] |
Generators of the group modulo torsion |
j |
879817812976081744/1860656251473 |
j-invariant |
L |
6.6807500555565 |
L(r)(E,1)/r! |
Ω |
0.11316895789012 |
Real period |
R |
1.4055574998534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87600h1 1752d1 |
Quadratic twists by: -4 5 |