Atkin-Lehner |
2+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1862a |
Isogeny class |
Conductor |
1862 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1053981376 = -1 · 26 · 74 · 193 |
Discriminant |
Eigenvalues |
2+ -2 -3 7+ -3 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,170,1320] |
[a1,a2,a3,a4,a6] |
Generators |
[-4203:10781:729] [4:43:1] |
Generators of the group modulo torsion |
j |
228215687/438976 |
j-invariant |
L |
1.8268078524335 |
L(r)(E,1)/r! |
Ω |
1.0717314532479 |
Real period |
R |
0.094696600372866 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14896x2 59584g2 16758y2 46550bu2 |
Quadratic twists by: -4 8 -3 5 |