Atkin-Lehner |
2+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
40678l |
Isogeny class |
Conductor |
40678 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
108284836 = 22 · 114 · 432 |
Discriminant |
Eigenvalues |
2+ -1 -1 -1 11- 1 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-468,3676] |
[a1,a2,a3,a4,a6] |
Generators |
[10:6:1] |
Generators of the group modulo torsion |
j |
6151393681/58564 |
j-invariant |
L |
2.0143220470816 |
L(r)(E,1)/r! |
Ω |
1.8882297604713 |
Real period |
R |
0.13334725527388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40678u1 |
Quadratic twists by: -43 |