Atkin-Lehner |
2+ 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22968g |
Isogeny class |
Conductor |
22968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
-237715492608 = -1 · 28 · 37 · 114 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1191,-28294] |
[a1,a2,a3,a4,a6] |
j |
-1001132368/1273767 |
j-invariant |
L |
0.77561798180158 |
L(r)(E,1)/r! |
Ω |
0.38780899090079 |
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 |
45936o1 7656f1 |
Quadratic twists by: -4 -3 |