Atkin-Lehner |
2+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1862a |
Isogeny class |
Conductor |
1862 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-182476 = -1 · 22 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ -2 -3 7+ -3 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-75,242] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:8:1] [-3:22:1] |
Generators of the group modulo torsion |
j |
-19061833/76 |
j-invariant |
L |
1.8268078524335 |
L(r)(E,1)/r! |
Ω |
3.2151943597438 |
Real period |
R |
0.8522694033558 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999947 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
14896x1 59584g1 16758y1 46550bu1 |
Quadratic twists by: -4 8 -3 5 |