Atkin-Lehner |
2+ 3- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40698s |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-2287431456282 = -1 · 2 · 36 · 75 · 173 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5811,186839] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:568:1] |
Generators of the group modulo torsion |
j |
-29770823556657/3137766058 |
j-invariant |
L |
5.8584223488731 |
L(r)(E,1)/r! |
Ω |
0.79862228119174 |
Real period |
R |
0.24452203446041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4522g1 |
Quadratic twists by: -3 |