Atkin-Lehner |
2+ 3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11352b |
Isogeny class |
Conductor |
11352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-489651174144 = -1 · 28 · 37 · 11 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 11- -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,44,33652] |
[a1,a2,a3,a4,a6] |
j |
35969456/1912699899 |
j-invariant |
L |
1.4741908847171 |
L(r)(E,1)/r! |
Ω |
0.73709544235853 |
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 |
22704k1 90816be1 34056q1 124872bb1 |
Quadratic twists by: -4 8 -3 -11 |