Atkin-Lehner |
2+ 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592bg |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-251529670656 = -1 · 212 · 34 · 11 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 11+ 2 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-825,-26073] |
[a1,a2,a3,a4,a6] |
Generators |
[42:123:1] |
Generators of the group modulo torsion |
j |
-15179306176/61408611 |
j-invariant |
L |
8.3861981402516 |
L(r)(E,1)/r! |
Ω |
0.40618295153582 |
Real period |
R |
0.86026486592999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86592u1 43296w1 |
Quadratic twists by: -4 8 |