Atkin-Lehner |
2+ 3+ 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12558d |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-95191642950768 = -1 · 24 · 310 · 72 · 132 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 6 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8209,-368619] |
[a1,a2,a3,a4,a6] |
j |
61166244013918343/95191642950768 |
j-invariant |
L |
1.2694118064892 |
L(r)(E,1)/r! |
Ω |
0.31735295162229 |
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 |
100464bn1 37674u1 87906t1 |
Quadratic twists by: -4 -3 -7 |