Atkin-Lehner |
2- 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
90576bz |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-17369445040128 = -1 · 217 · 36 · 173 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 2 3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23691,1417786] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-306:1] |
Generators of the group modulo torsion |
j |
-492477523273/5816992 |
j-invariant |
L |
5.5434097605272 |
L(r)(E,1)/r! |
Ω |
0.69496182725801 |
Real period |
R |
0.66471393908239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11322y1 10064b1 |
Quadratic twists by: -4 -3 |