Atkin-Lehner |
2+ 3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
119616n |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-211657162752 = -1 · 222 · 34 · 7 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63,-22113] |
[a1,a2,a3,a4,a6] |
Generators |
[6299:499968:1] |
Generators of the group modulo torsion |
j |
103823/807408 |
j-invariant |
L |
11.049702290094 |
L(r)(E,1)/r! |
Ω |
0.46207307579011 |
Real period |
R |
5.9783305131816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119616q1 3738c1 |
Quadratic twists by: -4 8 |