Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42050d |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22216320 |
Modular degree for the optimal curve |
Δ |
8.6160841379881E+25 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 2 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1815722942,-29776045778284] |
[a1,a2,a3,a4,a6] |
Generators |
[-16238423833264218869768652953137247044902317721120112850890517743:-21686725771306241354730485637604772857605514105753164544350150866:663688601846183740734223516743048016029642276797593564091933] |
Generators of the group modulo torsion |
j |
100709966211849/13107200 |
j-invariant |
L |
4.5725055601825 |
L(r)(E,1)/r! |
Ω |
0.023128131665315 |
Real period |
R |
98.851598268955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8410h1 42050z1 |
Quadratic twists by: 5 29 |