Atkin-Lehner |
2- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100510i |
Isogeny class |
Conductor |
100510 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1550016 |
Modular degree for the optimal curve |
Δ |
273775204542376000 = 26 · 53 · 19 · 239 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-569568,163665731] |
[a1,a2,a3,a4,a6] |
j |
11345123223/152000 |
j-invariant |
L |
0.93094997365508 |
L(r)(E,1)/r! |
Ω |
0.31031672030894 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100510l1 |
Quadratic twists by: -23 |