Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736ea |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
23188358592 = 26 · 38 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2631,51424] |
[a1,a2,a3,a4,a6] |
Generators |
[36:58:1] |
Generators of the group modulo torsion |
j |
43169672512/497007 |
j-invariant |
L |
3.9706353766827 |
L(r)(E,1)/r! |
Ω |
1.2064256845607 |
Real period |
R |
3.2912390957731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937337 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736fp1 46368l3 30912ca1 |
Quadratic twists by: -4 8 -3 |