Atkin-Lehner |
2- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
32224b |
Isogeny class |
Conductor |
32224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6016 |
Modular degree for the optimal curve |
Δ |
-9796096 = -1 · 29 · 192 · 53 |
Discriminant |
Eigenvalues |
2- 0 -3 -2 -5 2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-179,-934] |
[a1,a2,a3,a4,a6] |
Generators |
[22:76:1] |
Generators of the group modulo torsion |
j |
-1238833224/19133 |
j-invariant |
L |
2.5043525830955 |
L(r)(E,1)/r! |
Ω |
0.65201522142616 |
Real period |
R |
1.9204709497562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32224a1 64448d1 |
Quadratic twists by: -4 8 |