Atkin-Lehner |
3- 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23985s |
Isogeny class |
Conductor |
23985 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-12804895935 = -1 · 37 · 5 · 134 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-392,6306] |
[a1,a2,a3,a4,a6] |
Generators |
[24:89:1] |
Generators of the group modulo torsion |
j |
-9116230969/17565015 |
j-invariant |
L |
3.9574935829319 |
L(r)(E,1)/r! |
Ω |
1.1256565782013 |
Real period |
R |
3.5157202112707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7995b1 119925t1 |
Quadratic twists by: -3 5 |