Atkin-Lehner |
3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575db |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1958400 |
Modular degree for the optimal curve |
Δ |
-550879815469921875 = -1 · 310 · 58 · 77 · 29 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 2 2 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-353208,-88454131] |
[a1,a2,a3,a4,a6] |
Generators |
[274122:50735429:8] |
Generators of the group modulo torsion |
j |
-106039644160/11986947 |
j-invariant |
L |
17.326258339817 |
L(r)(E,1)/r! |
Ω |
0.097298658502163 |
Real period |
R |
8.9036470893932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106575z1 15225l1 |
Quadratic twists by: 5 -7 |