Atkin-Lehner |
2+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63536d |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
897408 |
Modular degree for the optimal curve |
Δ |
-138120660655740928 = -1 · 211 · 11 · 1910 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 11+ 5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1086008,435614836] |
[a1,a2,a3,a4,a6] |
j |
-11281250/11 |
j-invariant |
L |
1.3031025642985 |
L(r)(E,1)/r! |
Ω |
0.32577564067021 |
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 |
31768c1 63536b1 |
Quadratic twists by: -4 -19 |