Atkin-Lehner |
2+ 3+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93786b |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-8904183248146032 = -1 · 24 · 32 · 73 · 118 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ -4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-135545,-19793451] |
[a1,a2,a3,a4,a6] |
j |
-802943717037871375/25959717924624 |
j-invariant |
L |
0.99337345609507 |
L(r)(E,1)/r! |
Ω |
0.12417167330664 |
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 |
93786bd1 |
Quadratic twists by: -7 |