Atkin-Lehner |
2- 3- 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
100050cm |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
3600 |
Product of Tamagawa factors cp |
deg |
44236800 |
Modular degree for the optimal curve |
Δ |
-2.5342645912071E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,66879787,736427496417] |
[a1,a2,a3,a4,a6] |
Generators |
[-5102:514807:1] |
Generators of the group modulo torsion |
j |
2117328920459226486154871/16219293383725468876800 |
j-invariant |
L |
15.321622982309 |
L(r)(E,1)/r! |
Ω |
0.040374810194098 |
Real period |
R |
0.42164967319307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010b1 |
Quadratic twists by: 5 |