Atkin-Lehner |
2- 3+ 7+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
92862bc |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-986121825420240432 = -1 · 24 · 39 · 78 · 112 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,188296,-36014165] |
[a1,a2,a3,a4,a6] |
Generators |
[49521:2148131:27] |
Generators of the group modulo torsion |
j |
37510932875191749/50100179109904 |
j-invariant |
L |
12.860170809632 |
L(r)(E,1)/r! |
Ω |
0.14819907358466 |
Real period |
R |
5.4235202412253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003543 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92862d2 |
Quadratic twists by: -3 |