Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40368bk |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
159120 |
Modular degree for the optimal curve |
Δ |
-27803360533248 = -1 · 28 · 317 · 292 |
Discriminant |
Eigenvalues |
2- 3- -4 -1 -2 6 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2165,-257361] |
[a1,a2,a3,a4,a6] |
Generators |
[271:4374:1] |
Generators of the group modulo torsion |
j |
-5215092736/129140163 |
j-invariant |
L |
5.2428119226799 |
L(r)(E,1)/r! |
Ω |
0.2883153950263 |
Real period |
R |
0.53483217798002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10092b1 121104ci1 40368bc1 |
Quadratic twists by: -4 -3 29 |