Atkin-Lehner |
2- 3- 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810eg |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2156544 |
Modular degree for the optimal curve |
Δ |
-2295224588186838000 = -1 · 24 · 36 · 53 · 72 · 113 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-381497,-116260279] |
[a1,a2,a3,a4,a6] |
Generators |
[10941:1137034:1] |
Generators of the group modulo torsion |
j |
-8423032917173861449/3148456225222000 |
j-invariant |
L |
12.8300416733 |
L(r)(E,1)/r! |
Ω |
0.09429301180159 |
Real period |
R |
5.6694028550131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999888718 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13090e1 |
Quadratic twists by: -3 |