Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736et |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-69780869480448 = -1 · 220 · 310 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -2 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10068,-101680] |
[a1,a2,a3,a4,a6] |
Generators |
[16:252:1] [37:567:1] |
Generators of the group modulo torsion |
j |
590589719/365148 |
j-invariant |
L |
8.005129969233 |
L(r)(E,1)/r! |
Ω |
0.35601769837744 |
Real period |
R |
2.8106502871607 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999753 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736cg1 23184bs1 30912bj1 |
Quadratic twists by: -4 8 -3 |