Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584bh |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-61014016 = -1 · 216 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 2 1 7- 3 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,449] |
[a1,a2,a3,a4,a6] |
Generators |
[16:57:1] |
Generators of the group modulo torsion |
j |
-9604/19 |
j-invariant |
L |
10.409556406635 |
L(r)(E,1)/r! |
Ω |
1.7560761994493 |
Real period |
R |
2.9638680855743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998711 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584cq1 7448e1 59584i1 |
Quadratic twists by: -4 8 -7 |