Atkin-Lehner |
3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1353a |
Isogeny class |
Conductor |
1353 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-11469763899 = -1 · 32 · 11 · 415 |
Discriminant |
Eigenvalues |
1 3+ 3 -1 11- -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11,5148] |
[a1,a2,a3,a4,a6] |
j |
-169112377/11469763899 |
j-invariant |
L |
2.032351554337 |
L(r)(E,1)/r! |
Ω |
1.0161757771685 |
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 |
21648bc1 86592bd1 4059c1 33825s1 |
Quadratic twists by: -4 8 -3 5 |