Atkin-Lehner |
2+ 7- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
113386d |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3151872 |
Modular degree for the optimal curve |
Δ |
-7513914828018679808 = -1 · 219 · 77 · 133 · 892 |
Discriminant |
Eigenvalues |
2+ 1 -4 7- 3 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,236987,124202992] |
[a1,a2,a3,a4,a6] |
j |
12511566144938951/63867222228992 |
j-invariant |
L |
1.3514104536342 |
L(r)(E,1)/r! |
Ω |
0.16892633644527 |
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 |
16198g1 |
Quadratic twists by: -7 |