Atkin-Lehner |
3- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
43953bc |
Isogeny class |
Conductor |
43953 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
108288 |
Modular degree for the optimal curve |
Δ |
-7786142091 = -1 · 312 · 72 · 13 · 23 |
Discriminant |
Eigenvalues |
-2 3- -3 7- -5 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-11692,482752] |
[a1,a2,a3,a4,a6] |
Generators |
[53:121:1] |
Generators of the group modulo torsion |
j |
-3607706477842432/158900859 |
j-invariant |
L |
2.0739846202957 |
L(r)(E,1)/r! |
Ω |
1.2376780455517 |
Real period |
R |
0.13964217294865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999784 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43953b1 |
Quadratic twists by: -7 |