Atkin-Lehner |
2+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
59048g |
Isogeny class |
Conductor |
59048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10944 |
Modular degree for the optimal curve |
Δ |
1889536 = 28 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ -1 3 -2 11- -3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-249,1597] |
[a1,a2,a3,a4,a6] |
Generators |
[9:2:1] |
Generators of the group modulo torsion |
j |
55340032/61 |
j-invariant |
L |
5.3875100301642 |
L(r)(E,1)/r! |
Ω |
2.6231454865612 |
Real period |
R |
0.51345894250279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998543 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118096i1 59048l1 |
Quadratic twists by: -4 -11 |