Atkin-Lehner |
3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
96237m |
Isogeny class |
Conductor |
96237 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-99612585241461 = -1 · 38 · 177 · 37 |
Discriminant |
Eigenvalues |
1 3- -3 1 -3 -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44271,-3606282] |
[a1,a2,a3,a4,a6] |
Generators |
[438:-8022:1] |
Generators of the group modulo torsion |
j |
-545338513/5661 |
j-invariant |
L |
2.9932851168647 |
L(r)(E,1)/r! |
Ω |
0.16446387900082 |
Real period |
R |
1.1375161500635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071548 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32079d1 5661d1 |
Quadratic twists by: -3 17 |