Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
41400by |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-4889257200000000 = -1 · 210 · 312 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 -2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,26925,2902750] |
[a1,a2,a3,a4,a6] |
j |
185073116/419175 |
j-invariant |
L |
1.2033077683846 |
L(r)(E,1)/r! |
Ω |
0.30082694211017 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800r1 13800k1 8280e1 |
Quadratic twists by: -4 -3 5 |