Atkin-Lehner |
2+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18392a |
Isogeny class |
Conductor |
18392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
2337108224 = 28 · 113 · 193 |
Discriminant |
Eigenvalues |
2+ -2 -2 -4 11+ 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25164,-1544864] |
[a1,a2,a3,a4,a6] |
Generators |
[183:110:1] |
Generators of the group modulo torsion |
j |
5172041242352/6859 |
j-invariant |
L |
1.6744915694995 |
L(r)(E,1)/r! |
Ω |
0.37905587476431 |
Real period |
R |
4.4175322979511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36784b1 18392c1 |
Quadratic twists by: -4 -11 |