Atkin-Lehner |
2- 3+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
45540a |
Isogeny class |
Conductor |
45540 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
751410000 = 24 · 33 · 54 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2808,57257] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-33:1] |
Generators of the group modulo torsion |
j |
5668018716672/1739375 |
j-invariant |
L |
4.5647884486759 |
L(r)(E,1)/r! |
Ω |
1.5653847533753 |
Real period |
R |
0.48601346930178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999903 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45540e1 |
Quadratic twists by: -3 |