Atkin-Lehner |
2+ 5+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
77350d |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1128494199218750 = 2 · 510 · 7 · 134 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-541667,-153299009] |
[a1,a2,a3,a4,a6] |
Generators |
[-425:304:1] [979:15448:1] |
Generators of the group modulo torsion |
j |
1124867244803120001/72223628750 |
j-invariant |
L |
7.1688554312132 |
L(r)(E,1)/r! |
Ω |
0.17598193788327 |
Real period |
R |
10.184078430838 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15470o3 |
Quadratic twists by: 5 |