Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
87362bd |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
168000 |
Modular degree for the optimal curve |
Δ |
-97209095192 = -1 · 23 · 116 · 193 |
Discriminant |
Eigenvalues |
2- -3 2 3 11- -3 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-144,15051] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-123:1] |
Generators of the group modulo torsion |
j |
-27/8 |
j-invariant |
L |
8.3800062591977 |
L(r)(E,1)/r! |
Ω |
0.86753485813939 |
Real period |
R |
0.80496345250076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
722b1 87362j1 |
Quadratic twists by: -11 -19 |