Atkin-Lehner |
2+ 3- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810bh |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-5713656822720 = -1 · 26 · 311 · 5 · 72 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2025,109021] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:290:1] |
Generators of the group modulo torsion |
j |
1259362112399/7837663680 |
j-invariant |
L |
3.8333975583856 |
L(r)(E,1)/r! |
Ω |
0.55021252352148 |
Real period |
R |
0.87089019806284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025292 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270cf1 |
Quadratic twists by: -3 |