Atkin-Lehner |
2+ 5+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
45050a |
Isogeny class |
Conductor |
45050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
1845248000000000 = 220 · 59 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 -2 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-50125,3772125] |
[a1,a2,a3,a4,a6] |
Generators |
[-738:22455:8] |
Generators of the group modulo torsion |
j |
891415909325521/118095872000 |
j-invariant |
L |
6.3666533501055 |
L(r)(E,1)/r! |
Ω |
0.45186122997735 |
Real period |
R |
7.0449210152787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999863 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9010d1 |
Quadratic twists by: 5 |