Atkin-Lehner |
2+ 3- 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570o |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-7343222832000 = -1 · 27 · 36 · 53 · 114 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11- 1 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4299,170693] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-266:1] |
Generators of the group modulo torsion |
j |
-12054670471089/10073008000 |
j-invariant |
L |
5.3514786284304 |
L(r)(E,1)/r! |
Ω |
0.68131853016669 |
Real period |
R |
0.32727463926459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4730d1 |
Quadratic twists by: -3 |