Atkin-Lehner |
2+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
63878d |
Isogeny class |
Conductor |
63878 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1219680 |
Modular degree for the optimal curve |
Δ |
-2846714728784186752 = -1 · 27 · 199 · 413 |
Discriminant |
Eigenvalues |
2+ 2 2 -2 3 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-769994,272117588] |
[a1,a2,a3,a4,a6] |
Generators |
[-2211649747:254547213128:12649337] |
Generators of the group modulo torsion |
j |
-732546244785290993/41304025315712 |
j-invariant |
L |
8.0124378723482 |
L(r)(E,1)/r! |
Ω |
0.25116533364654 |
Real period |
R |
15.950525011079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63878e1 |
Quadratic twists by: 41 |