Atkin-Lehner |
2+ 3- 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570h |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-37957455360 = -1 · 29 · 36 · 5 · 11 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11+ -4 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,315,9045] |
[a1,a2,a3,a4,a6] |
Generators |
[7:104:1] |
Generators of the group modulo torsion |
j |
4733169839/52067840 |
j-invariant |
L |
2.8481963168831 |
L(r)(E,1)/r! |
Ω |
0.84964631475404 |
Real period |
R |
1.6761070267856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4730j1 |
Quadratic twists by: -3 |