Atkin-Lehner |
2+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
1298a |
Isogeny class |
Conductor |
1298 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
992 |
Modular degree for the optimal curve |
Δ |
-397613744 = -1 · 24 · 112 · 593 |
Discriminant |
Eigenvalues |
2+ 1 3 5 11+ -4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-257,1828] |
[a1,a2,a3,a4,a6] |
j |
-1866773548297/397613744 |
j-invariant |
L |
2.1512286685793 |
L(r)(E,1)/r! |
Ω |
1.6134215014345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
10384e1 41536i1 11682s1 32450o1 |
Quadratic twists by: -4 8 -3 5 |