Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575p |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
427392 |
Modular degree for the optimal curve |
Δ |
1919948958046875 = 3 · 57 · 710 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -2 4 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-61275,5418750] |
[a1,a2,a3,a4,a6] |
Generators |
[190:730:1] |
Generators of the group modulo torsion |
j |
5764801/435 |
j-invariant |
L |
5.9134541159792 |
L(r)(E,1)/r! |
Ω |
0.45773069252059 |
Real period |
R |
3.2297670889519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018187 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21315o1 106575bu1 |
Quadratic twists by: 5 -7 |