Atkin-Lehner |
2+ 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
22326c |
Isogeny class |
Conductor |
22326 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-1205604 = -1 · 22 · 34 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 3 0 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16,52] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:10:1] |
Generators of the group modulo torsion |
j |
-134017/324 |
j-invariant |
L |
4.3603529888901 |
L(r)(E,1)/r! |
Ω |
2.4204013066827 |
Real period |
R |
0.4503750036049 |
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 |
66978q1 22326i1 |
Quadratic twists by: -3 61 |