Atkin-Lehner |
2- 3- 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810db |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
1056 |
Product of Tamagawa factors cp |
deg |
2838528 |
Modular degree for the optimal curve |
Δ |
5465460187437465600 = 222 · 39 · 52 · 72 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-488633,68184281] |
[a1,a2,a3,a4,a6] |
Generators |
[783:-13244:1] [-729:6412:1] |
Generators of the group modulo torsion |
j |
17698796351170126921/7497201903206400 |
j-invariant |
L |
16.334172668267 |
L(r)(E,1)/r! |
Ω |
0.21776112934874 |
Real period |
R |
0.28412722862066 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999974973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270bl1 |
Quadratic twists by: -3 |