Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76320bf |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1887216537600 = -1 · 212 · 38 · 52 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2748,86272] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-180:1] |
Generators of the group modulo torsion |
j |
-768575296/632025 |
j-invariant |
L |
5.8153668218631 |
L(r)(E,1)/r! |
Ω |
0.76340348204099 |
Real period |
R |
0.95221055445653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76320bd2 25440t2 |
Quadratic twists by: -4 -3 |