Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40368bh |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-827994062832 = -1 · 24 · 3 · 297 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 1 -3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1962,54447] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1233:1] |
Generators of the group modulo torsion |
j |
-87808/87 |
j-invariant |
L |
7.9740499326902 |
L(r)(E,1)/r! |
Ω |
0.812600156817 |
Real period |
R |
4.9065028266343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10092a1 121104cb1 1392l1 |
Quadratic twists by: -4 -3 29 |