Atkin-Lehner |
2- 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
50320m |
Isogeny class |
Conductor |
50320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-187335063961600 = -1 · 216 · 52 · 174 · 372 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 4 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16456,-1040400] |
[a1,a2,a3,a4,a6] |
Generators |
[3978:85221:8] |
Generators of the group modulo torsion |
j |
-120326972910409/45736099600 |
j-invariant |
L |
9.2924080931866 |
L(r)(E,1)/r! |
Ω |
0.20685020997708 |
Real period |
R |
5.6154209936692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6290d2 |
Quadratic twists by: -4 |