Atkin-Lehner |
3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575bl |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
539760744140625 = 34 · 59 · 76 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22075,-596000] |
[a1,a2,a3,a4,a6] |
Generators |
[-970:4985:8] [304:4420:1] |
Generators of the group modulo torsion |
j |
5177717/2349 |
j-invariant |
L |
11.617891386829 |
L(r)(E,1)/r! |
Ω |
0.40878993065235 |
Real period |
R |
14.210099755792 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106575cy1 2175i1 |
Quadratic twists by: 5 -7 |