Atkin-Lehner |
2- 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20976k |
Isogeny class |
Conductor |
20976 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
278784 |
Modular degree for the optimal curve |
Δ |
-103987806845534208 = -1 · 234 · 36 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -6 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-292144,-62824108] |
[a1,a2,a3,a4,a6] |
j |
-673218690226274737/25387648155648 |
j-invariant |
L |
1.2293949675828 |
L(r)(E,1)/r! |
Ω |
0.1024495806319 |
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 |
2622b1 83904u1 62928bq1 |
Quadratic twists by: -4 8 -3 |