Atkin-Lehner |
2+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21344a |
Isogeny class |
Conductor |
21344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10496 |
Modular degree for the optimal curve |
Δ |
-62836736 = -1 · 212 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ -1 1 -4 -1 -3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3665,-84191] |
[a1,a2,a3,a4,a6] |
Generators |
[71:92:1] |
Generators of the group modulo torsion |
j |
-1329548527936/15341 |
j-invariant |
L |
2.9439055466186 |
L(r)(E,1)/r! |
Ω |
0.30678978088064 |
Real period |
R |
2.3989599149685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21344e1 42688b1 |
Quadratic twists by: -4 8 |