Atkin-Lehner |
3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575cb |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
1748824811015625 = 38 · 57 · 76 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36776,1819073] |
[a1,a2,a3,a4,a6] |
j |
2992209121/951345 |
j-invariant |
L |
3.4854016948961 |
L(r)(E,1)/r! |
Ω |
0.43567527643913 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21315f1 2175b1 |
Quadratic twists by: 5 -7 |