Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736dk |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-249321231581184 = -1 · 215 · 39 · 75 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 2 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19116,-1269648] |
[a1,a2,a3,a4,a6] |
Generators |
[213:2079:1] |
Generators of the group modulo torsion |
j |
-1197770328/386561 |
j-invariant |
L |
9.9409750341639 |
L(r)(E,1)/r! |
Ω |
0.19972803337696 |
Real period |
R |
2.4886278785389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736de1 46368bi1 92736dq1 |
Quadratic twists by: -4 8 -3 |