Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840q |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
90880 |
Modular degree for the optimal curve |
Δ |
-1064920657920 = -1 · 212 · 3 · 5 · 7 · 195 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-141,-49701] |
[a1,a2,a3,a4,a6] |
Generators |
[185:2508:1] |
Generators of the group modulo torsion |
j |
-76225024/259990395 |
j-invariant |
L |
7.7229450290413 |
L(r)(E,1)/r! |
Ω |
0.39630440487839 |
Real period |
R |
1.9487406482917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63840d1 127680ek1 |
Quadratic twists by: -4 8 |