Atkin-Lehner |
2+ 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
29664b |
Isogeny class |
Conductor |
29664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-1484920512 = -1 · 26 · 37 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-273,2540] |
[a1,a2,a3,a4,a6] |
j |
-48228544/31827 |
j-invariant |
L |
5.5805123757728 |
L(r)(E,1)/r! |
Ω |
1.3951280939427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29664j1 59328l2 9888h1 |
Quadratic twists by: -4 8 -3 |