Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
87362q |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-12668386494516632 = -1 · 23 · 116 · 197 |
Discriminant |
Eigenvalues |
2+ -1 0 1 11- 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-677965,214647701] |
[a1,a2,a3,a4,a6] |
Generators |
[479:63:1] |
Generators of the group modulo torsion |
j |
-413493625/152 |
j-invariant |
L |
4.0313379301891 |
L(r)(E,1)/r! |
Ω |
0.39233329779074 |
Real period |
R |
2.5688221904967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
722e1 4598n1 |
Quadratic twists by: -11 -19 |