Atkin-Lehner |
2+ 3- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520ba |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2035805051581440 = -1 · 210 · 3 · 5 · 178 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21760,-2505052] |
[a1,a2,a3,a4,a6] |
Generators |
[29193075835:626429549544:57066625] |
Generators of the group modulo torsion |
j |
-1112808378332164/1988090870685 |
j-invariant |
L |
9.3878207823809 |
L(r)(E,1)/r! |
Ω |
0.18544403947016 |
Real period |
R |
12.655867517563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760t3 |
Quadratic twists by: -4 |