Atkin-Lehner |
3- 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
15921a |
Isogeny class |
Conductor |
15921 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-21347285062203 = -1 · 315 · 293 · 61 |
Discriminant |
Eigenvalues |
1 3- 0 -2 2 1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6408,-103761] |
[a1,a2,a3,a4,a6] |
j |
39914029109375/29282969907 |
j-invariant |
L |
1.526761837605 |
L(r)(E,1)/r! |
Ω |
0.38169045940125 |
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 |
5307b1 |
Quadratic twists by: -3 |