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 |
-99186551114218750 = -1 · 2 · 57 · 7 · 13 · 178 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,77833,-12658509] |
[a1,a2,a3,a4,a6] |
Generators |
[189:2868:1] [783:22584:1] |
Generators of the group modulo torsion |
j |
3337273947891519/6347939271310 |
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 |
15470o4 |
Quadratic twists by: 5 |