Atkin-Lehner |
2- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11020d |
Isogeny class |
Conductor |
11020 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
24288080 = 24 · 5 · 192 · 292 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -4 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-185,880] |
[a1,a2,a3,a4,a6] |
Generators |
[3:19:1] |
Generators of the group modulo torsion |
j |
44001181696/1518005 |
j-invariant |
L |
2.5534573023232 |
L(r)(E,1)/r! |
Ω |
2.1149662196904 |
Real period |
R |
0.40244256678121 |
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 |
44080s1 99180h1 55100a1 |
Quadratic twists by: -4 -3 5 |