Atkin-Lehner |
2- 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630dn |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
7703618872320 = 210 · 32 · 5 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5685,96417] |
[a1,a2,a3,a4,a6] |
j |
172715635009/65479680 |
j-invariant |
L |
6.7590429355665 |
L(r)(E,1)/r! |
Ω |
0.67590429355867 |
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 |
127890bq1 6090r1 |
Quadratic twists by: -3 -7 |