Atkin-Lehner |
2+ 3- 7+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112518h |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1695744 |
Modular degree for the optimal curve |
Δ |
1555066021460112 = 24 · 39 · 76 · 19 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -2 -4 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-216594,-38698236] |
[a1,a2,a3,a4,a6] |
Generators |
[-267:345:1] |
Generators of the group modulo torsion |
j |
1541475324643691809/2133149549328 |
j-invariant |
L |
2.9769912327413 |
L(r)(E,1)/r! |
Ω |
0.22132167400432 |
Real period |
R |
1.6813712629153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37506v1 |
Quadratic twists by: -3 |