Atkin-Lehner |
3+ 7+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
12831a |
Isogeny class |
Conductor |
12831 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-2283366267 = -1 · 35 · 7 · 134 · 47 |
Discriminant |
Eigenvalues |
-2 3+ 4 7+ -3 13+ -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-196,-2466] |
[a1,a2,a3,a4,a6] |
j |
-836962177024/2283366267 |
j-invariant |
L |
1.1837138145419 |
L(r)(E,1)/r! |
Ω |
0.59185690727096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38493c1 89817q1 |
Quadratic twists by: -3 -7 |