Atkin-Lehner |
2+ 3+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
21024b |
Isogeny class |
Conductor |
21024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-5885374464 = -1 · 212 · 39 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 -4 6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-216,-3888] |
[a1,a2,a3,a4,a6] |
j |
-13824/73 |
j-invariant |
L |
2.242481236653 |
L(r)(E,1)/r! |
Ω |
0.56062030916324 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21024a1 42048bi1 21024g1 |
Quadratic twists by: -4 8 -3 |