Atkin-Lehner |
2- 5+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
45050m |
Isogeny class |
Conductor |
45050 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
720800 = 25 · 52 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -3 2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-70,-203] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:3:1] |
Generators of the group modulo torsion |
j |
1497091545/28832 |
j-invariant |
L |
6.6606233508617 |
L(r)(E,1)/r! |
Ω |
1.6543176452881 |
Real period |
R |
0.805241166329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45050f1 |
Quadratic twists by: 5 |