Atkin-Lehner |
2+ 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50150b |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61544448 |
Modular degree for the optimal curve |
Δ |
1.0410527935504E+30 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2718545792,-23803891728384] |
[a1,a2,a3,a4,a6] |
Generators |
[-2141500558924772000846337584427417407452683653210154205111738310089105:141040153541616981394517223679593637563337595767944806848125719932036867:47948473896189645713995700864706561430702198384061779994656529257] |
Generators of the group modulo torsion |
j |
142204599831017182780352090961/66627378787225960448000000 |
j-invariant |
L |
4.7384715816351 |
L(r)(E,1)/r! |
Ω |
0.021880208660392 |
Real period |
R |
108.28213878538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10030l1 |
Quadratic twists by: 5 |