Atkin-Lehner |
2+ 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400w |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58406400 |
Modular degree for the optimal curve |
Δ |
5.94185639702E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11+ 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-249859708,967290756037] |
[a1,a2,a3,a4,a6] |
Generators |
[-1036038227346:95694298099133:73560059] |
Generators of the group modulo torsion |
j |
276014807068456151215360/95069702352320142777 |
j-invariant |
L |
4.1377870824058 |
L(r)(E,1)/r! |
Ω |
0.047405348479461 |
Real period |
R |
21.821309277995 |
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 |
125400ct1 |
Quadratic twists by: 5 |