Atkin-Lehner |
2+ 3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520a |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-242250000000000 = -1 · 210 · 3 · 512 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15464,108640] |
[a1,a2,a3,a4,a6] |
Generators |
[29:762:1] [189:3122:1] |
Generators of the group modulo torsion |
j |
399356901417884/236572265625 |
j-invariant |
L |
8.6615456879238 |
L(r)(E,1)/r! |
Ω |
0.33867715348231 |
Real period |
R |
25.574638262072 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760f3 |
Quadratic twists by: -4 |