Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736er |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-323350438211136 = -1 · 26 · 322 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17751,-1255840] |
[a1,a2,a3,a4,a6] |
Generators |
[644:15950:1] [10916:52715:64] |
Generators of the group modulo torsion |
j |
-13258203533632/6930522081 |
j-invariant |
L |
9.2240135199825 |
L(r)(E,1)/r! |
Ω |
0.20184535535458 |
Real period |
R |
45.698418492546 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736fc1 46368p2 30912bh1 |
Quadratic twists by: -4 8 -3 |