Atkin-Lehner |
2+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
39872l |
Isogeny class |
Conductor |
39872 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-2263841570816 = -1 · 216 · 72 · 893 |
Discriminant |
Eigenvalues |
2+ -3 1 7+ -2 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,788,-71888] |
[a1,a2,a3,a4,a6] |
Generators |
[36:56:1] [126:1424:1] |
Generators of the group modulo torsion |
j |
825700284/34543481 |
j-invariant |
L |
6.1389583171162 |
L(r)(E,1)/r! |
Ω |
0.39377988393486 |
Real period |
R |
0.64957591871845 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39872bm1 4984d1 |
Quadratic twists by: -4 8 |