Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320y |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
446160 = 24 · 3 · 5 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9295,-348040] |
[a1,a2,a3,a4,a6] |
Generators |
[7896:126728:27] |
Generators of the group modulo torsion |
j |
5551350318708736/27885 |
j-invariant |
L |
7.8288265406405 |
L(r)(E,1)/r! |
Ω |
0.48622055277551 |
Real period |
R |
8.0506947885594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17160t1 102960z1 |
Quadratic twists by: -4 -3 |