Atkin-Lehner |
2- 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55100b |
Isogeny class |
Conductor |
55100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-15117236000000 = -1 · 28 · 56 · 194 · 29 |
Discriminant |
Eigenvalues |
2- -3 5+ 0 -3 -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-775,-187250] |
[a1,a2,a3,a4,a6] |
j |
-12869712/3779309 |
j-invariant |
L |
0.62667877329671 |
L(r)(E,1)/r! |
Ω |
0.31333938640697 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2204a1 |
Quadratic twists by: 5 |