Atkin-Lehner |
2- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
119560y |
Isogeny class |
Conductor |
119560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1800462648320 = 210 · 5 · 78 · 61 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 2 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4067,-76146] |
[a1,a2,a3,a4,a6] |
Generators |
[164255:426496:2197] |
Generators of the group modulo torsion |
j |
61752996/14945 |
j-invariant |
L |
8.3233720255167 |
L(r)(E,1)/r! |
Ω |
0.60836420124645 |
Real period |
R |
6.8407806418692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999078868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17080h1 |
Quadratic twists by: -7 |