Atkin-Lehner |
2+ 3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
55770o |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12543763415040000 = 223 · 32 · 54 · 112 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5234491317,145765028232621] |
[a1,a2,a3,a4,a6] |
Generators |
[41757:-25746:1] |
Generators of the group modulo torsion |
j |
7219666000936423966694648752693/5709496320000 |
j-invariant |
L |
2.1784819921557 |
L(r)(E,1)/r! |
Ω |
0.1177447030461 |
Real period |
R |
2.3127176168337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998487 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55770ca2 |
Quadratic twists by: 13 |