Atkin-Lehner |
3+ 5+ 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
123225g |
Isogeny class |
Conductor |
123225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75776 |
Modular degree for the optimal curve |
Δ |
-231046875 = -1 · 32 · 56 · 31 · 53 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 5 0 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-58,-732] |
[a1,a2,a3,a4,a6] |
Generators |
[12:12:1] |
Generators of the group modulo torsion |
j |
-1404928/14787 |
j-invariant |
L |
3.8871374245821 |
L(r)(E,1)/r! |
Ω |
0.74948133462354 |
Real period |
R |
1.2966091609622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999146153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4929b1 |
Quadratic twists by: 5 |