Atkin-Lehner |
2- 3- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32364g |
Isogeny class |
Conductor |
32364 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
488448 |
Modular degree for the optimal curve |
Δ |
-19907173564708464 = -1 · 24 · 310 · 294 · 313 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -6 0 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-437421,-111558607] |
[a1,a2,a3,a4,a6] |
Generators |
[460549965895208:-18620865036987723:242853829919] |
Generators of the group modulo torsion |
j |
-793551448031473408/1706719269951 |
j-invariant |
L |
7.7003258154295 |
L(r)(E,1)/r! |
Ω |
0.092808698997583 |
Real period |
R |
20.742467835989 |
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 |
129456bo1 10788a1 |
Quadratic twists by: -4 -3 |