Atkin-Lehner |
2- 3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
9372d |
Isogeny class |
Conductor |
9372 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-471502958256 = -1 · 24 · 312 · 11 · 712 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17249,866856] |
[a1,a2,a3,a4,a6] |
Generators |
[61:213:1] |
Generators of the group modulo torsion |
j |
-35474858654973952/29468934891 |
j-invariant |
L |
4.6711332840823 |
L(r)(E,1)/r! |
Ω |
0.92828884405085 |
Real period |
R |
0.27955458727566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37488s1 28116i1 103092h1 |
Quadratic twists by: -4 -3 -11 |