Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18392c |
Isogeny class |
Conductor |
18392 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
310464 |
Modular degree for the optimal curve |
Δ |
4140329782417664 = 28 · 119 · 193 |
Discriminant |
Eigenvalues |
2- -2 -2 4 11+ -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3044884,2044034496] |
[a1,a2,a3,a4,a6] |
Generators |
[-1654:50578:1] |
Generators of the group modulo torsion |
j |
5172041242352/6859 |
j-invariant |
L |
3.3144629670113 |
L(r)(E,1)/r! |
Ω |
0.3718163944292 |
Real period |
R |
1.4857077384926 |
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 |
36784a1 18392a1 |
Quadratic twists by: -4 -11 |