Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64288g |
Isogeny class |
Conductor |
64288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-47437763416064 = -1 · 212 · 710 · 41 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- -3 0 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3201,-339697] |
[a1,a2,a3,a4,a6] |
Generators |
[1039:33452:1] |
Generators of the group modulo torsion |
j |
-3136/41 |
j-invariant |
L |
6.2843559892984 |
L(r)(E,1)/r! |
Ω |
0.27192644150105 |
Real period |
R |
5.7776249660556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64288r1 128576bk1 64288a1 |
Quadratic twists by: -4 8 -7 |