Atkin-Lehner |
2- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11024i |
Isogeny class |
Conductor |
11024 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-12942307229696 = -1 · 221 · 133 · 532 |
Discriminant |
Eigenvalues |
2- -1 -3 1 0 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-832,-173056] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1378:1] |
Generators of the group modulo torsion |
j |
-15568817473/3159742976 |
j-invariant |
L |
2.7933282180149 |
L(r)(E,1)/r! |
Ω |
0.31638460379853 |
Real period |
R |
0.73574171658958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1378d1 44096n1 99216bs1 |
Quadratic twists by: -4 8 -3 |