Atkin-Lehner |
2- 5+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
100300i |
Isogeny class |
Conductor |
100300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-1567187500000000 = -1 · 28 · 514 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -3 6 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-118133,15783137] |
[a1,a2,a3,a4,a6] |
j |
-45580711100416/391796875 |
j-invariant |
L |
3.8246124223265 |
L(r)(E,1)/r! |
Ω |
0.47807653998466 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20060e1 |
Quadratic twists by: 5 |