Atkin-Lehner |
2+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344z |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
363977506816 = 222 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 1 3 7- 11+ 3 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3169,61183] |
[a1,a2,a3,a4,a6] |
j |
13430356633/1388464 |
j-invariant |
L |
5.5628714360713 |
L(r)(E,1)/r! |
Ω |
0.92714533264997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344dl1 3542f1 |
Quadratic twists by: -4 8 |