Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320by |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-20906272358400 = -1 · 220 · 3 · 52 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2496,-225996] |
[a1,a2,a3,a4,a6] |
Generators |
[164:1950:1] |
Generators of the group modulo torsion |
j |
-420021471169/5104070400 |
j-invariant |
L |
7.4119410160829 |
L(r)(E,1)/r! |
Ω |
0.29061538332682 |
Real period |
R |
2.1253580738556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290q1 102960ed1 |
Quadratic twists by: -4 -3 |