Atkin-Lehner |
2- 3+ 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810ck |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-12045159472500 = -1 · 22 · 39 · 54 · 7 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1402,-166103] |
[a1,a2,a3,a4,a6] |
Generators |
[353:6473:1] |
Generators of the group modulo torsion |
j |
15494117157/611957500 |
j-invariant |
L |
10.981661651581 |
L(r)(E,1)/r! |
Ω |
0.34287526847589 |
Real period |
R |
4.0035191449172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810q2 |
Quadratic twists by: -3 |