Atkin-Lehner |
5- 7- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120785n |
Isogeny class |
Conductor |
120785 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
-145116944390075 = -1 · 52 · 77 · 172 · 293 |
Discriminant |
Eigenvalues |
-2 -1 5- 7- 0 6 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,10960,371706] |
[a1,a2,a3,a4,a6] |
Generators |
[215:-3553:1] |
Generators of the group modulo torsion |
j |
1237449568256/1233473675 |
j-invariant |
L |
3.1283297987557 |
L(r)(E,1)/r! |
Ω |
0.38204845410771 |
Real period |
R |
0.17058970921352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000426917 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17255a1 |
Quadratic twists by: -7 |