Atkin-Lehner |
2- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100450bx |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
185303763344000000 = 210 · 56 · 710 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -6 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2525363,-1545576719] |
[a1,a2,a3,a4,a6] |
j |
968917714969177/100803584 |
j-invariant |
L |
2.395252284542 |
L(r)(E,1)/r! |
Ω |
0.11976262642741 |
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 |
4018h1 14350s1 |
Quadratic twists by: 5 -7 |