Atkin-Lehner |
2- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55100k |
Isogeny class |
Conductor |
55100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
9487531250000 = 24 · 59 · 192 · 292 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23000,-1334375] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:87:1] |
Generators of the group modulo torsion |
j |
43058331648/303601 |
j-invariant |
L |
4.2900477494384 |
L(r)(E,1)/r! |
Ω |
0.38783960146658 |
Real period |
R |
1.8435661431686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999431 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55100j1 |
Quadratic twists by: 5 |