Atkin-Lehner |
2- 3- 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194bi |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-24066237888 = -1 · 26 · 37 · 72 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,535,5609] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:64:1] |
Generators of the group modulo torsion |
j |
23271176375/33012672 |
j-invariant |
L |
8.7760104888859 |
L(r)(E,1)/r! |
Ω |
0.81068220924878 |
Real period |
R |
0.45106097004676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398p1 |
Quadratic twists by: -3 |