Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032bc |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
551911163795712 = 28 · 39 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -2 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79527,8557850] |
[a1,a2,a3,a4,a6] |
Generators |
[238:1764:1] |
Generators of the group modulo torsion |
j |
2533446736/25137 |
j-invariant |
L |
4.6637118738769 |
L(r)(E,1)/r! |
Ω |
0.52125693624711 |
Real period |
R |
2.2367625012671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995394 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344ba1 9576m1 |
Quadratic twists by: -3 -7 |