Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10920u |
Isogeny class |
Conductor |
10920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
359573760 = 28 · 32 · 5 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-260,1248] |
[a1,a2,a3,a4,a6] |
j |
7622072656/1404585 |
j-invariant |
L |
3.23454956822 |
L(r)(E,1)/r! |
Ω |
1.61727478411 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21840g1 87360l1 32760k1 54600a1 |
Quadratic twists by: -4 8 -3 5 |