Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
40368br |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
270327007936512 = 219 · 36 · 294 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 0 -4 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20464,-809260] |
[a1,a2,a3,a4,a6] |
Generators |
[338:5568:1] [-68:522:1] |
Generators of the group modulo torsion |
j |
327163297/93312 |
j-invariant |
L |
9.3724513724985 |
L(r)(E,1)/r! |
Ω |
0.40782401621184 |
Real period |
R |
0.31918898974683 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5046l1 121104cs1 40368v1 |
Quadratic twists by: -4 -3 29 |