Atkin-Lehner |
2+ 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52030i |
Isogeny class |
Conductor |
52030 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-133245519403942000 = -1 · 24 · 53 · 117 · 434 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-294839,-64000755] |
[a1,a2,a3,a4,a6] |
Generators |
[2786:142597:1] |
Generators of the group modulo torsion |
j |
-1600011920811681/75213622000 |
j-invariant |
L |
4.0163481991773 |
L(r)(E,1)/r! |
Ω |
0.10216055293443 |
Real period |
R |
3.2761733727336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999183 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4730g1 |
Quadratic twists by: -11 |