Atkin-Lehner |
2- 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
76700d |
Isogeny class |
Conductor |
76700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-63292480468750000 = -1 · 24 · 515 · 133 · 59 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -3 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,52967,-11175438] |
[a1,a2,a3,a4,a6] |
Generators |
[35094:1281250:27] |
Generators of the group modulo torsion |
j |
65734237700096/253169921875 |
j-invariant |
L |
9.0330056888632 |
L(r)(E,1)/r! |
Ω |
0.17739667775811 |
Real period |
R |
4.2433177642077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15340c2 |
Quadratic twists by: 5 |