Atkin-Lehner |
3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21021k |
Isogeny class |
Conductor |
21021 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-21467006818944687 = -1 · 312 · 710 · 11 · 13 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,905,7049333] |
[a1,a2,a3,a4,a6] |
j |
697864103/182466547263 |
j-invariant |
L |
3.6362340242261 |
L(r)(E,1)/r! |
Ω |
0.30301950201884 |
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 |
63063be3 3003e4 |
Quadratic twists by: -3 -7 |