Atkin-Lehner |
2+ 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
22326b |
Isogeny class |
Conductor |
22326 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1354080 |
Modular degree for the optimal curve |
Δ |
-6.4135003987885E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 -2 4 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26404293,-52247988531] |
[a1,a2,a3,a4,a6] |
Generators |
[30081792781259:7980133543497042:423564751] |
Generators of the group modulo torsion |
j |
-39515579724486529/12448473984 |
j-invariant |
L |
2.5728654875633 |
L(r)(E,1)/r! |
Ω |
0.033299883475595 |
Real period |
R |
19.315874554403 |
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 |
66978m1 366d1 |
Quadratic twists by: -3 61 |