Atkin-Lehner |
2- 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20060d |
Isogeny class |
Conductor |
20060 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
7003834658000 = 24 · 53 · 172 · 594 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10881,421550] |
[a1,a2,a3,a4,a6] |
Generators |
[382188:5121811:1728] |
Generators of the group modulo torsion |
j |
8905331134971904/437739666125 |
j-invariant |
L |
6.6204987312175 |
L(r)(E,1)/r! |
Ω |
0.7374800287772 |
Real period |
R |
8.9771905311046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80240p1 100300d1 |
Quadratic twists by: -4 5 |