Atkin-Lehner |
3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21021b |
Isogeny class |
Conductor |
21021 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12786087751319883 = 3 · 76 · 118 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-147442,21039668] |
[a1,a2,a3,a4,a6] |
j |
3013001140430737/108679952667 |
j-invariant |
L |
0.7929866532113 |
L(r)(E,1)/r! |
Ω |
0.39649332660565 |
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 |
63063t6 429b5 |
Quadratic twists by: -3 -7 |