Atkin-Lehner |
3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
1353d |
Isogeny class |
Conductor |
1353 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-653706009 = -1 · 32 · 116 · 41 |
Discriminant |
Eigenvalues |
1 3- 2 4 11- 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,135,1081] |
[a1,a2,a3,a4,a6] |
j |
275005425527/653706009 |
j-invariant |
L |
3.3830907052009 |
L(r)(E,1)/r! |
Ω |
1.1276969017336 |
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 |
21648p2 86592i2 4059a2 33825i2 |
Quadratic twists by: -4 8 -3 5 |