Atkin-Lehner |
3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575dd |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-4114176338671875 = -1 · 32 · 58 · 79 · 29 |
Discriminant |
Eigenvalues |
2 3- 5- 7- -4 0 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,14292,-3010381] |
[a1,a2,a3,a4,a6] |
Generators |
[906:2165:8] |
Generators of the group modulo torsion |
j |
20480/261 |
j-invariant |
L |
16.210284427556 |
L(r)(E,1)/r! |
Ω |
0.21537048584225 |
Real period |
R |
6.2722477112294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999990667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106575bb1 106575bm1 |
Quadratic twists by: 5 -7 |