Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
84420o |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
445440 |
Modular degree for the optimal curve |
Δ |
1650017645010000 = 24 · 37 · 54 · 75 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156288,23700913] |
[a1,a2,a3,a4,a6] |
Generators |
[38:4221:1] |
Generators of the group modulo torsion |
j |
36195376788668416/141462418125 |
j-invariant |
L |
7.4014592709343 |
L(r)(E,1)/r! |
Ω |
0.47587405951716 |
Real period |
R |
0.25922332185083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28140t1 |
Quadratic twists by: -3 |