Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21024c |
Isogeny class |
Conductor |
21024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
2482892352 = 26 · 312 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 6 0 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-381,1564] |
[a1,a2,a3,a4,a6] |
j |
131096512/53217 |
j-invariant |
L |
2.6261653907842 |
L(r)(E,1)/r! |
Ω |
1.3130826953921 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21024j1 42048h1 7008j1 |
Quadratic twists by: -4 8 -3 |