Atkin-Lehner |
2+ 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
111202k |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
61286400 |
Modular degree for the optimal curve |
Δ |
-9.175967251441E+26 |
Discriminant |
Eigenvalues |
2+ -1 0 7- -4 13+ -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,227929790,608193760244] |
[a1,a2,a3,a4,a6] |
Generators |
[220628:103766550:1] |
Generators of the group modulo torsion |
j |
271310665353825311471375/190104212771646537728 |
j-invariant |
L |
2.4420536009423 |
L(r)(E,1)/r! |
Ω |
0.031484843856168 |
Real period |
R |
1.2927138603142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998295722 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554k1 |
Quadratic twists by: 13 |