Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432bb |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-109296 = -1 · 24 · 33 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 11- 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5877,-173413] |
[a1,a2,a3,a4,a6] |
Generators |
[10811662:98728557:79507] |
Generators of the group modulo torsion |
j |
-51964534050048/253 |
j-invariant |
L |
6.634507496736 |
L(r)(E,1)/r! |
Ω |
0.27263438969315 |
Real period |
R |
12.167407611716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9108b1 36432v1 |
Quadratic twists by: -4 -3 |