Atkin-Lehner |
2+ 3+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184d |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
-107184 = -1 · 24 · 3 · 7 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 11+ 3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-439,-3398] |
[a1,a2,a3,a4,a6] |
Generators |
[146479310:2248430334:614125] |
Generators of the group modulo torsion |
j |
-586119534592/6699 |
j-invariant |
L |
7.5122756985643 |
L(r)(E,1)/r! |
Ω |
0.52139963439806 |
Real period |
R |
14.407903597456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040478 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53592l1 |
Quadratic twists by: -4 |